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Simplifying 40 + 2m = -8 + -3(3m + -5) Reorder the terms: 40 + 2m = -8 + -3(-5 + 3m) 40 + 2m = -8 + (-5 * -3 + 3m * -3) 40 + 2m = -8 + (15 + -9m) Combine like terms: -8 + 15 = 7 40 + 2m = 7 + -9m Solving 40 + 2m = 7 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 40 + 2m + 9m = 7 + -9m + 9m Combine like terms: 2m + 9m = 11m 40 + 11m = 7 + -9m + 9m Combine like terms: -9m + 9m = 0 40 + 11m = 7 + 0 40 + 11m = 7 Add '-40' to each side of the equation. 40 + -40 + 11m = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 11m = 7 + -40 11m = 7 + -40 Combine like terms: 7 + -40 = -33 11m = -33 Divide each side by '11'. m = -3 Simplifying m = -3
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