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Simplifying 8(-8 + -8n) = 6(8 + -12n) (-8 * 8 + -8n * 8) = 6(8 + -12n) (-64 + -64n) = 6(8 + -12n) -64 + -64n = (8 * 6 + -12n * 6) -64 + -64n = (48 + -72n) Solving -64 + -64n = 48 + -72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72n' to each side of the equation. -64 + -64n + 72n = 48 + -72n + 72n Combine like terms: -64n + 72n = 8n -64 + 8n = 48 + -72n + 72n Combine like terms: -72n + 72n = 0 -64 + 8n = 48 + 0 -64 + 8n = 48 Add '64' to each side of the equation. -64 + 64 + 8n = 48 + 64 Combine like terms: -64 + 64 = 0 0 + 8n = 48 + 64 8n = 48 + 64 Combine like terms: 48 + 64 = 112 8n = 112 Divide each side by '8'. n = 14 Simplifying n = 14
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