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Simplifying -129 = 6(1 + -4n) + -3n -129 = (1 * 6 + -4n * 6) + -3n -129 = (6 + -24n) + -3n Combine like terms: -24n + -3n = -27n -129 = 6 + -27n Solving -129 = 6 + -27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27n' to each side of the equation. -129 + 27n = 6 + -27n + 27n Combine like terms: -27n + 27n = 0 -129 + 27n = 6 + 0 -129 + 27n = 6 Add '129' to each side of the equation. -129 + 129 + 27n = 6 + 129 Combine like terms: -129 + 129 = 0 0 + 27n = 6 + 129 27n = 6 + 129 Combine like terms: 6 + 129 = 135 27n = 135 Divide each side by '27'. n = 5 Simplifying n = 5
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