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Simplifying -12(6n + -12) = 8(1 + 8n) Reorder the terms: -12(-12 + 6n) = 8(1 + 8n) (-12 * -12 + 6n * -12) = 8(1 + 8n) (144 + -72n) = 8(1 + 8n) 144 + -72n = (1 * 8 + 8n * 8) 144 + -72n = (8 + 64n) Solving 144 + -72n = 8 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 144 + -72n + -64n = 8 + 64n + -64n Combine like terms: -72n + -64n = -136n 144 + -136n = 8 + 64n + -64n Combine like terms: 64n + -64n = 0 144 + -136n = 8 + 0 144 + -136n = 8 Add '-144' to each side of the equation. 144 + -144 + -136n = 8 + -144 Combine like terms: 144 + -144 = 0 0 + -136n = 8 + -144 -136n = 8 + -144 Combine like terms: 8 + -144 = -136 -136n = -136 Divide each side by '-136'. n = 1 Simplifying n = 1
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