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Simplifying -3(m + -2) + -12 = -2(m + 4) Reorder the terms: -3(-2 + m) + -12 = -2(m + 4) (-2 * -3 + m * -3) + -12 = -2(m + 4) (6 + -3m) + -12 = -2(m + 4) Reorder the terms: 6 + -12 + -3m = -2(m + 4) Combine like terms: 6 + -12 = -6 -6 + -3m = -2(m + 4) Reorder the terms: -6 + -3m = -2(4 + m) -6 + -3m = (4 * -2 + m * -2) -6 + -3m = (-8 + -2m) Solving -6 + -3m = -8 + -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. -6 + -3m + 2m = -8 + -2m + 2m Combine like terms: -3m + 2m = -1m -6 + -1m = -8 + -2m + 2m Combine like terms: -2m + 2m = 0 -6 + -1m = -8 + 0 -6 + -1m = -8 Add '6' to each side of the equation. -6 + 6 + -1m = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = -8 + 6 -1m = -8 + 6 Combine like terms: -8 + 6 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2
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