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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 = -67n 8 + -3n = -56 + -67n Solving 8 + -3n = -56 + -67n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '67n' to each side of the equation. 8 + -3n + 67n = -56 + -67n + 67n Combine like terms: -3n + 67n = 64n 8 + 64n = -56 + -67n + 67n Combine like terms: -67n + 67n = 0 8 + 64n = -56 + 0 8 + 64n = -56 Add '-8' to each side of the equation. 8 + -8 + 64n = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 64n = -56 + -8 64n = -56 + -8 Combine like terms: -56 + -8 = -64 64n = -64 Divide each side by '64'. n = -1 Simplifying n = -1
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