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Simplifying -9(m + 3) = 5(-3m + -17) + -8 Reorder the terms: -9(3 + m) = 5(-3m + -17) + -8 (3 * -9 + m * -9) = 5(-3m + -17) + -8 (-27 + -9m) = 5(-3m + -17) + -8 Reorder the terms: -27 + -9m = 5(-17 + -3m) + -8 -27 + -9m = (-17 * 5 + -3m * 5) + -8 -27 + -9m = (-85 + -15m) + -8 Reorder the terms: -27 + -9m = -85 + -8 + -15m Combine like terms: -85 + -8 = -93 -27 + -9m = -93 + -15m Solving -27 + -9m = -93 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -27 + -9m + 15m = -93 + -15m + 15m Combine like terms: -9m + 15m = 6m -27 + 6m = -93 + -15m + 15m Combine like terms: -15m + 15m = 0 -27 + 6m = -93 + 0 -27 + 6m = -93 Add '27' to each side of the equation. -27 + 27 + 6m = -93 + 27 Combine like terms: -27 + 27 = 0 0 + 6m = -93 + 27 6m = -93 + 27 Combine like terms: -93 + 27 = -66 6m = -66 Divide each side by '6'. m = -11 Simplifying m = -11
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