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Simplifying 3(m + 8) = 2(m + -2) Reorder the terms: 3(8 + m) = 2(m + -2) (8 * 3 + m * 3) = 2(m + -2) (24 + 3m) = 2(m + -2) Reorder the terms: 24 + 3m = 2(-2 + m) 24 + 3m = (-2 * 2 + m * 2) 24 + 3m = (-4 + 2m) Solving 24 + 3m = -4 + 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 = -4 + 2m + -2m Combine like terms: 3m + -2m = 1m 24 + 1m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 24 + 1m = -4 + 0 24 + 1m = -4 Add '-24' to each side of the equation. 24 + -24 + 1m = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 1m = -4 + -24 1m = -4 + -24 Combine like terms: -4 + -24 = -28 1m = -28 Divide each side by '1'. m = -28 Simplifying m = -28
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