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Simplifying -6n + -12(-11n + 8) = -10(n + -4) Reorder the terms: -6n + -12(8 + -11n) = -10(n + -4) -6n + (8 * -12 + -11n * -12) = -10(n + -4) -6n + (-96 + 132n) = -10(n + -4) Reorder the terms: -96 + -6n + 132n = -10(n + -4) Combine like terms: -6n + 132n = 126n -96 + 126n = -10(n + -4) Reorder the terms: -96 + 126n = -10(-4 + n) -96 + 126n = (-4 * -10 + n * -10) -96 + 126n = (40 + -10n) Solving -96 + 126n = 40 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -96 + 126n + 10n = 40 + -10n + 10n Combine like terms: 126n + 10n = 136n -96 + 136n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 -96 + 136n = 40 + 0 -96 + 136n = 40 Add '96' to each side of the equation. -96 + 96 + 136n = 40 + 96 Combine like terms: -96 + 96 = 0 0 + 136n = 40 + 96 136n = 40 + 96 Combine like terms: 40 + 96 = 136 136n = 136 Divide each side by '136'. n = 1 Simplifying n = 1
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