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Simplifying 30 + 2m = -2(4m + -5) Reorder the terms: 30 + 2m = -2(-5 + 4m) 30 + 2m = (-5 * -2 + 4m * -2) 30 + 2m = (10 + -8m) Solving 30 + 2m = 10 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 30 + 2m + 8m = 10 + -8m + 8m Combine like terms: 2m + 8m = 10m 30 + 10m = 10 + -8m + 8m Combine like terms: -8m + 8m = 0 30 + 10m = 10 + 0 30 + 10m = 10 Add '-30' to each side of the equation. 30 + -30 + 10m = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 10m = 10 + -30 10m = 10 + -30 Combine like terms: 10 + -30 = -20 10m = -20 Divide each side by '10'. m = -2 Simplifying m = -2
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