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Simplifying 4(11 + 8n) = -12(-9n + -10) (11 * 4 + 8n * 4) = -12(-9n + -10) (44 + 32n) = -12(-9n + -10) Reorder the terms: 44 + 32n = -12(-10 + -9n) 44 + 32n = (-10 * -12 + -9n * -12) 44 + 32n = (120 + 108n) Solving 44 + 32n = 120 + 108n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-108n' to each side of the equation. 44 + 32n + -108n = 120 + 108n + -108n Combine like terms: 32n + -108n = -76n 44 + -76n = 120 + 108n + -108n Combine like terms: 108n + -108n = 0 44 + -76n = 120 + 0 44 + -76n = 120 Add '-44' to each side of the equation. 44 + -44 + -76n = 120 + -44 Combine like terms: 44 + -44 = 0 0 + -76n = 120 + -44 -76n = 120 + -44 Combine like terms: 120 + -44 = 76 -76n = 76 Divide each side by '-76'. n = -1 Simplifying n = -1
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