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Simplifying -2(m + 12) = -4 + -3(m + 10) Reorder the terms: -2(12 + m) = -4 + -3(m + 10) (12 * -2 + m * -2) = -4 + -3(m + 10) (-24 + -2m) = -4 + -3(m + 10) Reorder the terms: -24 + -2m = -4 + -3(10 + m) -24 + -2m = -4 + (10 * -3 + m * -3) -24 + -2m = -4 + (-30 + -3m) Combine like terms: -4 + -30 = -34 -24 + -2m = -34 + -3m Solving -24 + -2m = -34 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -24 + -2m + 3m = -34 + -3m + 3m Combine like terms: -2m + 3m = 1m -24 + 1m = -34 + -3m + 3m Combine like terms: -3m + 3m = 0 -24 + 1m = -34 + 0 -24 + 1m = -34 Add '24' to each side of the equation. -24 + 24 + 1m = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 1m = -34 + 24 1m = -34 + 24 Combine like terms: -34 + 24 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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