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Simplifying 2m + -3(m + 1) = 4(m + 3) Reorder the terms: 2m + -3(1 + m) = 4(m + 3) 2m + (1 * -3 + m * -3) = 4(m + 3) 2m + (-3 + -3m) = 4(m + 3) Reorder the terms: -3 + 2m + -3m = 4(m + 3) Combine like terms: 2m + -3m = -1m -3 + -1m = 4(m + 3) Reorder the terms: -3 + -1m = 4(3 + m) -3 + -1m = (3 * 4 + m * 4) -3 + -1m = (12 + 4m) Solving -3 + -1m = 12 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -3 + -1m + -4m = 12 + 4m + -4m Combine like terms: -1m + -4m = -5m -3 + -5m = 12 + 4m + -4m Combine like terms: 4m + -4m = 0 -3 + -5m = 12 + 0 -3 + -5m = 12 Add '3' to each side of the equation. -3 + 3 + -5m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 12 + 3 -5m = 12 + 3 Combine like terms: 12 + 3 = 15 -5m = 15 Divide each side by '-5'. m = -3 Simplifying m = -3
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