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Simplifying 5(m + -11) + -32 + -9m = 3m + 18 Reorder the terms: 5(-11 + m) + -32 + -9m = 3m + 18 (-11 * 5 + m * 5) + -32 + -9m = 3m + 18 (-55 + 5m) + -32 + -9m = 3m + 18 Reorder the terms: -55 + -32 + 5m + -9m = 3m + 18 Combine like terms: -55 + -32 = -87 -87 + 5m + -9m = 3m + 18 Combine like terms: 5m + -9m = -4m -87 + -4m = 3m + 18 Reorder the terms: -87 + -4m = 18 + 3m Solving -87 + -4m = 18 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -87 + -4m + -3m = 18 + 3m + -3m Combine like terms: -4m + -3m = -7m -87 + -7m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 -87 + -7m = 18 + 0 -87 + -7m = 18 Add '87' to each side of the equation. -87 + 87 + -7m = 18 + 87 Combine like terms: -87 + 87 = 0 0 + -7m = 18 + 87 -7m = 18 + 87 Combine like terms: 18 + 87 = 105 -7m = 105 Divide each side by '-7'. m = -15 Simplifying m = -15
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