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Simplifying -8(-7 + n) = 8(n + -1) (-7 * -8 + n * -8) = 8(n + -1) (56 + -8n) = 8(n + -1) Reorder the terms: 56 + -8n = 8(-1 + n) 56 + -8n = (-1 * 8 + n * 8) 56 + -8n = (-8 + 8n) Solving 56 + -8n = -8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 56 + -8n + -8n = -8 + 8n + -8n Combine like terms: -8n + -8n = -16n 56 + -16n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 56 + -16n = -8 + 0 56 + -16n = -8 Add '-56' to each side of the equation. 56 + -56 + -16n = -8 + -56 Combine like terms: 56 + -56 = 0 0 + -16n = -8 + -56 -16n = -8 + -56 Combine like terms: -8 + -56 = -64 -16n = -64 Divide each side by '-16'. n = 4 Simplifying n = 4
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