(7+n)/6 =-1

{ "query": { "display": "$$\\frac{7+n}{6}=-1$$", "symbolab_question": "EQUATION#\\frac{7+n}{6}=-1" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "n=-13", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{7+n}{6}=-1{\\quad:\\quad}n=-13$$", "input": "\\frac{7+n}{6}=-1", "steps": [ { "type": "interim", "title": "Multiply both sides by $$6$$", "input": "\\frac{7+n}{6}=-1", "result": "7+n=-6", "steps": [ { "type": "step", "primary": "Multiply both sides by $$6$$", "result": "\\frac{6\\left(7+n\\right)}{6}=6\\left(-1\\right)" }, { "type": "step", "primary": "Simplify", "result": "7+n=-6" } ], "meta": { "interimType": "Multiply Both Sides Specific 1Eq", "gptData": "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" } }, { "type": "interim", "title": "Move $$7\\:$$to the right side", "input": "7+n=-6", "result": "n=-13", "steps": [ { "type": "step", "primary": "Subtract $$7$$ from both sides", "result": "7+n-7=-6-7" }, { "type": "step", "primary": "Simplify", "result": "n=-13" } ], "meta": { "interimType": "Move to the Right Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s73m+NQ+AUw7zX1/BrlTXMoxyOUtErWNRXbTqqjj69E3teX1PdbdBcFrtpqehWg/9rRKvwpCsMm/dIDWKdnSUJtCRTAR6rqDW9kjTBM7NIIAe8VmH5b+IMwMCjiIIju0VR3CmpoWEZ6Xx6oiIfKYR080iu613x5IyBSj4elHIXAAxifLa8A7YxWbH9J3VeMNgetxJcK3U+vuqxag+N/8CNvcQVTIXxHbnuqrGIe5Uv+ELDIUjprCA+XIptxfb/EbOOB4CES9nGxD2S5ut+HDkiOxtWKyJwU+3om7eHGIbx8A80UCRHZyRKDzQfKBxnNPRTvJXrhRQTKZrV0QqJ1oeAGfve1FkLGYy7pfNHW7ge8PWtSON6otHROlKM8B29ZaSGOov0Hutmir8it5PwmsJSIpRtZJJOUDSa/tucvyzZL8i/Mg94S0N9we//Py6WzxN6" } } ], "meta": { "solvingClass": "Equations", "practiceLink": "/practice/linear-equations-practice", "practiceTopic": "Linear Equations" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "\\frac{7+n}{6}=-1" }, "showViewLarger": true } }, "meta": { "showVerify": true } }