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Simplifying -6 + -12(-11n + 8) = -10(n + -4) Reorder the terms: -6 + -12(8 + -11n) = -10(n + -4) -6 + (8 * -12 + -11n * -12) = -10(n + -4) -6 + (-96 + 132n) = -10(n + -4) Combine like terms: -6 + -96 = -102 -102 + 132n = -10(n + -4) Reorder the terms: -102 + 132n = -10(-4 + n) -102 + 132n = (-4 * -10 + n * -10) -102 + 132n = (40 + -10n) Solving -102 + 132n = 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. -102 + 132n + 10n = 40 + -10n + 10n Combine like terms: 132n + 10n = 142n -102 + 142n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 -102 + 142n = 40 + 0 -102 + 142n = 40 Add '102' to each side of the equation. -102 + 102 + 142n = 40 + 102 Combine like terms: -102 + 102 = 0 0 + 142n = 40 + 102 142n = 40 + 102 Combine like terms: 40 + 102 = 142 142n = 142 Divide each side by '142'. n = 1 Simplifying n = 1
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