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Simplifying -2(3m + -5) = 7 + -5(2m + 3) Reorder the terms: -2(-5 + 3m) = 7 + -5(2m + 3) (-5 * -2 + 3m * -2) = 7 + -5(2m + 3) (10 + -6m) = 7 + -5(2m + 3) Reorder the terms: 10 + -6m = 7 + -5(3 + 2m) 10 + -6m = 7 + (3 * -5 + 2m * -5) 10 + -6m = 7 + (-15 + -10m) Combine like terms: 7 + -15 = -8 10 + -6m = -8 + -10m Solving 10 + -6m = -8 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 10 + -6m + 10m = -8 + -10m + 10m Combine like terms: -6m + 10m = 4m 10 + 4m = -8 + -10m + 10m Combine like terms: -10m + 10m = 0 10 + 4m = -8 + 0 10 + 4m = -8 Add '-10' to each side of the equation. 10 + -10 + 4m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 4m = -8 + -10 4m = -8 + -10 Combine like terms: -8 + -10 = -18 4m = -18 Divide each side by '4'. m = -4.5 Simplifying m = -4.5
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