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Simplifying 12(6n + -12) = 34(4 + -8n) Reorder the terms: 12(-12 + 6n) = 34(4 + -8n) (-12 * 12 + 6n * 12) = 34(4 + -8n) (-144 + 72n) = 34(4 + -8n) -144 + 72n = (4 * 34 + -8n * 34) -144 + 72n = (136 + -272n) Solving -144 + 72n = 136 + -272n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '272n' to each side of the equation. -144 + 72n + 272n = 136 + -272n + 272n Combine like terms: 72n + 272n = 344n -144 + 344n = 136 + -272n + 272n Combine like terms: -272n + 272n = 0 -144 + 344n = 136 + 0 -144 + 344n = 136 Add '144' to each side of the equation. -144 + 144 + 344n = 136 + 144 Combine like terms: -144 + 144 = 0 0 + 344n = 136 + 144 344n = 136 + 144 Combine like terms: 136 + 144 = 280 344n = 280 Divide each side by '344'. n = 0.8139534884 Simplifying n = 0.8139534884
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