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Simplifying -3n + 8 = 3n + 8(-7 + -8n) Reorder the terms: 8 + -3n = 3n + 8(-7 + -8n) 8 + -3n = 3n + (-7 * 8 + -8n * 8) 8 + -3n = 3n + (-56 + -64n) Reorder the terms: 8 + -3n = -56 + 3n + -64n Combine like terms: 3n + -64n = -61n 8 + -3n = -56 + -61n Solving 8 + -3n = -56 + -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. 8 + -3n + 61n = -56 + -61n + 61n Combine like terms: -3n + 61n = 58n 8 + 58n = -56 + -61n + 61n Combine like terms: -61n + 61n = 0 8 + 58n = -56 + 0 8 + 58n = -56 Add '-8' to each side of the equation. 8 + -8 + 58n = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 58n = -56 + -8 58n = -56 + -8 Combine like terms: -56 + -8 = -64 58n = -64 Divide each side by '58'. n = -1.103448276 Simplifying n = -1.103448276
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