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Simplifying 4[m + 3] + -2m = 3[m + -3] Reorder the terms: 4[3 + m] + -2m = 3[m + -3] [3 * 4 + m * 4] + -2m = 3[m + -3] [12 + 4m] + -2m = 3[m + -3] Combine like terms: 4m + -2m = 2m 12 + 2m = 3[m + -3] Reorder the terms: 12 + 2m = 3[-3 + m] 12 + 2m = [-3 * 3 + m * 3] 12 + 2m = [-9 + 3m] Solving 12 + 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. 12 + 2m + -3m = -9 + 3m + -3m Combine like terms: 2m + -3m = -1m 12 + -1m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -1m = -9 + 0 12 + -1m = -9 Add '-12' to each side of the equation. 12 + -12 + -1m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -9 + -12 -1m = -9 + -12 Combine like terms: -9 + -12 = -21 -1m = -21 Divide each side by '-1'. m = 21 Simplifying m = 21
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