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Simplifying 5 + -3(1 + -1m) = 2(m + -5) 5 + (1 * -3 + -1m * -3) = 2(m + -5) 5 + (-3 + 3m) = 2(m + -5) Combine like terms: 5 + -3 = 2 2 + 3m = 2(m + -5) Reorder the terms: 2 + 3m = 2(-5 + m) 2 + 3m = (-5 * 2 + m * 2) 2 + 3m = (-10 + 2m) Solving 2 + 3m = -10 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 2 + 3m + -2m = -10 + 2m + -2m Combine like terms: 3m + -2m = 1m 2 + 1m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 2 + 1m = -10 + 0 2 + 1m = -10 Add '-2' to each side of the equation. 2 + -2 + 1m = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = -10 + -2 1m = -10 + -2 Combine like terms: -10 + -2 = -12 1m = -12 Divide each side by '1'. m = -12 Simplifying m = -12
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