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Simplifying 4(m + 3) + -2m = 3(m + -9) Reorder the terms: 4(3 + m) + -2m = 3(m + -9) (3 * 4 + m * 4) + -2m = 3(m + -9) (12 + 4m) + -2m = 3(m + -9) Combine like terms: 4m + -2m = 2m 12 + 2m = 3(m + -9) Reorder the terms: 12 + 2m = 3(-9 + m) 12 + 2m = (-9 * 3 + m * 3) 12 + 2m = (-27 + 3m) Solving 12 + 2m = -27 + 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. 12 + 2m + -3m = -27 + 3m + -3m Combine like terms: 2m + -3m = -1m 12 + -1m = -27 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -1m = -27 + 0 12 + -1m = -27 Add '-12' to each side of the equation. 12 + -12 + -1m = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -27 + -12 -1m = -27 + -12 Combine like terms: -27 + -12 = -39 -1m = -39 Divide each side by '-1'. m = 39 Simplifying m = 39
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