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Simplifying 12(-8n + -8) = -12(n + -10) + -12n Reorder the terms: 12(-8 + -8n) = -12(n + -10) + -12n (-8 * 12 + -8n * 12) = -12(n + -10) + -12n (-96 + -96n) = -12(n + -10) + -12n Reorder the terms: -96 + -96n = -12(-10 + n) + -12n -96 + -96n = (-10 * -12 + n * -12) + -12n -96 + -96n = (120 + -12n) + -12n Combine like terms: -12n + -12n = -24n -96 + -96n = 120 + -24n Solving -96 + -96n = 120 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -96 + -96n + 24n = 120 + -24n + 24n Combine like terms: -96n + 24n = -72n -96 + -72n = 120 + -24n + 24n Combine like terms: -24n + 24n = 0 -96 + -72n = 120 + 0 -96 + -72n = 120 Add '96' to each side of the equation. -96 + 96 + -72n = 120 + 96 Combine like terms: -96 + 96 = 0 0 + -72n = 120 + 96 -72n = 120 + 96 Combine like terms: 120 + 96 = 216 -72n = 216 Divide each side by '-72'. n = -3 Simplifying n = -3
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