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Simplifying -4(m + 6) + 2m = 3m + 6 Reorder the terms: -4(6 + m) + 2m = 3m + 6 (6 * -4 + m * -4) + 2m = 3m + 6 (-24 + -4m) + 2m = 3m + 6 Combine like terms: -4m + 2m = -2m -24 + -2m = 3m + 6 Reorder the terms: -24 + -2m = 6 + 3m Solving -24 + -2m = 6 + 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 = 6 + 3m + -3m Combine like terms: -2m + -3m = -5m -24 + -5m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + -5m = 6 + 0 -24 + -5m = 6 Add '24' to each side of the equation. -24 + 24 + -5m = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5m = 6 + 24 -5m = 6 + 24 Combine like terms: 6 + 24 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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