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Simplifying -4(m + 6) + 2m = 3(m + -3) Reorder the terms: -4(6 + m) + 2m = 3(m + -3) (6 * -4 + m * -4) + 2m = 3(m + -3) (-24 + -4m) + 2m = 3(m + -3) Combine like terms: -4m + 2m = -2m -24 + -2m = 3(m + -3) Reorder the terms: -24 + -2m = 3(-3 + m) -24 + -2m = (-3 * 3 + m * 3) -24 + -2m = (-9 + 3m) Solving -24 + -2m = -9 + 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 = -9 + 3m + -3m Combine like terms: -2m + -3m = -5m -24 + -5m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + -5m = -9 + 0 -24 + -5m = -9 Add '24' to each side of the equation. -24 + 24 + -5m = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -5m = -9 + 24 -5m = -9 + 24 Combine like terms: -9 + 24 = 15 -5m = 15 Divide each side by '-5'. m = -3 Simplifying m = -3
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