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Simplifying 4(m + 2) + -2m = 3(m + -3) Reorder the terms: 4(2 + m) + -2m = 3(m + -3) (2 * 4 + m * 4) + -2m = 3(m + -3) (8 + 4m) + -2m = 3(m + -3) Combine like terms: 4m + -2m = 2m 8 + 2m = 3(m + -3) Reorder the terms: 8 + 2m = 3(-3 + m) 8 + 2m = (-3 * 3 + m * 3) 8 + 2m = (-9 + 3m) Solving 8 + 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. 8 + 2m + -3m = -9 + 3m + -3m Combine like terms: 2m + -3m = -1m 8 + -1m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -1m = -9 + 0 8 + -1m = -9 Add '-8' to each side of the equation. 8 + -8 + -1m = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = -9 + -8 -1m = -9 + -8 Combine like terms: -9 + -8 = -17 -1m = -17 Divide each side by '-1'. m = 17 Simplifying m = 17
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