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Simplifying -117 = -6(6 + 4n) + -3n -117 = (6 * -6 + 4n * -6) + -3n -117 = (-36 + -24n) + -3n Combine like terms: -24n + -3n = -27n -117 = -36 + -27n Solving -117 = -36 + -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. -117 + 27n = -36 + -27n + 27n Combine like terms: -27n + 27n = 0 -117 + 27n = -36 + 0 -117 + 27n = -36 Add '117' to each side of the equation. -117 + 117 + 27n = -36 + 117 Combine like terms: -117 + 117 = 0 0 + 27n = -36 + 117 27n = -36 + 117 Combine like terms: -36 + 117 = 81 27n = 81 Divide each side by '27'. n = 3 Simplifying n = 3
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