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Simplifying 8(8 + 8n) = 8(6n + -12) (8 * 8 + 8n * 8) = 8(6n + -12) (64 + 64n) = 8(6n + -12) Reorder the terms: 64 + 64n = 8(-12 + 6n) 64 + 64n = (-12 * 8 + 6n * 8) 64 + 64n = (-96 + 48n) Solving 64 + 64n = -96 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 64 + 64n + -48n = -96 + 48n + -48n Combine like terms: 64n + -48n = 16n 64 + 16n = -96 + 48n + -48n Combine like terms: 48n + -48n = 0 64 + 16n = -96 + 0 64 + 16n = -96 Add '-64' to each side of the equation. 64 + -64 + 16n = -96 + -64 Combine like terms: 64 + -64 = 0 0 + 16n = -96 + -64 16n = -96 + -64 Combine like terms: -96 + -64 = -160 16n = -160 Divide each side by '16'. n = -10 Simplifying n = -10
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