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Simplifying 2(1 + -2m) + -5m = -4(m + -8) (1 * 2 + -2m * 2) + -5m = -4(m + -8) (2 + -4m) + -5m = -4(m + -8) Combine like terms: -4m + -5m = -9m 2 + -9m = -4(m + -8) Reorder the terms: 2 + -9m = -4(-8 + m) 2 + -9m = (-8 * -4 + m * -4) 2 + -9m = (32 + -4m) Solving 2 + -9m = 32 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 2 + -9m + 4m = 32 + -4m + 4m Combine like terms: -9m + 4m = -5m 2 + -5m = 32 + -4m + 4m Combine like terms: -4m + 4m = 0 2 + -5m = 32 + 0 2 + -5m = 32 Add '-2' to each side of the equation. 2 + -2 + -5m = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 32 + -2 -5m = 32 + -2 Combine like terms: 32 + -2 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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