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Simplifying 5m + -2(m + -12) = -2(m + 15) Reorder the terms: 5m + -2(-12 + m) = -2(m + 15) 5m + (-12 * -2 + m * -2) = -2(m + 15) 5m + (24 + -2m) = -2(m + 15) Reorder the terms: 24 + 5m + -2m = -2(m + 15) Combine like terms: 5m + -2m = 3m 24 + 3m = -2(m + 15) Reorder the terms: 24 + 3m = -2(15 + m) 24 + 3m = (15 * -2 + m * -2) 24 + 3m = (-30 + -2m) Solving 24 + 3m = -30 + -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. 24 + 3m + 2m = -30 + -2m + 2m Combine like terms: 3m + 2m = 5m 24 + 5m = -30 + -2m + 2m Combine like terms: -2m + 2m = 0 24 + 5m = -30 + 0 24 + 5m = -30 Add '-24' to each side of the equation. 24 + -24 + 5m = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 5m = -30 + -24 5m = -30 + -24 Combine like terms: -30 + -24 = -54 5m = -54 Divide each side by '5'. m = -10.8 Simplifying m = -10.8
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