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Simplifying 102 = -2n + -4(6n + -6) Reorder the terms: 102 = -2n + -4(-6 + 6n) 102 = -2n + (-6 * -4 + 6n * -4) 102 = -2n + (24 + -24n) Reorder the terms: 102 = 24 + -2n + -24n Combine like terms: -2n + -24n = -26n 102 = 24 + -26n Solving 102 = 24 + -26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26n' to each side of the equation. 102 + 26n = 24 + -26n + 26n Combine like terms: -26n + 26n = 0 102 + 26n = 24 + 0 102 + 26n = 24 Add '-102' to each side of the equation. 102 + -102 + 26n = 24 + -102 Combine like terms: 102 + -102 = 0 0 + 26n = 24 + -102 26n = 24 + -102 Combine like terms: 24 + -102 = -78 26n = -78 Divide each side by '26'. n = -3 Simplifying n = -3
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