{ "query": { "display": "$$\\frac{b+11}{3}=-2$$", "symbolab_question": "EQUATION#\\frac{b+11}{3}=-2" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "b=-17", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{b+11}{3}=-2{\\quad:\\quad}b=-17$$", "input": "\\frac{b+11}{3}=-2", "steps": [ { "type": "interim", "title": "Multiply both sides by $$3$$", "input": "\\frac{b+11}{3}=-2", "result": "b+11=-6", "steps": [ { "type": "step", "primary": "Multiply both sides by $$3$$", "result": "\\frac{3\\left(b+11\\right)}{3}=3\\left(-2\\right)" }, { "type": "step", "primary": "Simplify", "result": "b+11=-6" } ], "meta": { "interimType": "Multiply Both Sides Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYheF9v52gdGvE+WC3v1cyg5s6cWy/XUoZeMdIT9QHXupzBPwyHZ+nx1DAUrS+XejiLE7Pz+Jz49vI+/0qcnHpdr3lMWLoFiHrTf51oPWjte/soh1N1bMWdCb5YM9Q4f9ltMyKXqjig1oe8nVG8YCoXV694Ph869lyDoQUdss535rQw4ys2bMIuVBQI80BNMuJeuXkTRnDX7okMuvu8AS234MCgLu2d7Tf0YCz45c8kcPIuTqDTaa6kFdlIEFBhEqhZb44akLOVySZB79hkFBOoJXKwDrETn4lYD/sLVsodGn7Yb8ChKEd5LBzR2wpK2+pHMAyH8W6/z6tr1o7FwXaZj/hnO7jQ5+axTIg8r+vZ4iKrlmA37e3jCRbbLN4VHxptoqOaxYYh7w3ib/OUq23+QIpK2l4dc7tZpGOuxfyRpD" } }, { "type": "interim", "title": "Move $$11\\:$$to the right side", "input": "b+11=-6", "result": "b=-17", "steps": [ { "type": "step", "primary": "Subtract $$11$$ from both sides", "result": "b+11-11=-6-11" }, { "type": "step", "primary": "Simplify", "result": "b=-17" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "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" } } ], "meta": { "solvingClass": "Equations", "practiceLink": "/practice/linear-equations-practice", "practiceTopic": "Linear Equations" } }, "plot_output": { "meta": { "plotInfo": { "variable": "b", "plotRequest": "\\frac{b+11}{3}=-2" }, "showViewLarger": true } }, "meta": { "showVerify": true } }