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Simplifying 2m + 30 = -2(1 + -5m) Reorder the terms: 30 + 2m = -2(1 + -5m) 30 + 2m = (1 * -2 + -5m * -2) 30 + 2m = (-2 + 10m) Solving 30 + 2m = -2 + 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. 30 + 2m + -10m = -2 + 10m + -10m Combine like terms: 2m + -10m = -8m 30 + -8m = -2 + 10m + -10m Combine like terms: 10m + -10m = 0 30 + -8m = -2 + 0 30 + -8m = -2 Add '-30' to each side of the equation. 30 + -30 + -8m = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8m = -2 + -30 -8m = -2 + -30 Combine like terms: -2 + -30 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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