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Simplifying 12 + -4m + 8 = 2 + 3m + -12 Reorder the terms: 12 + 8 + -4m = 2 + 3m + -12 Combine like terms: 12 + 8 = 20 20 + -4m = 2 + 3m + -12 Reorder the terms: 20 + -4m = 2 + -12 + 3m Combine like terms: 2 + -12 = -10 20 + -4m = -10 + 3m Solving 20 + -4m = -10 + 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. 20 + -4m + -3m = -10 + 3m + -3m Combine like terms: -4m + -3m = -7m 20 + -7m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 20 + -7m = -10 + 0 20 + -7m = -10 Add '-20' to each side of the equation. 20 + -20 + -7m = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -7m = -10 + -20 -7m = -10 + -20 Combine like terms: -10 + -20 = -30 -7m = -30 Divide each side by '-7'. m = 4.285714286 Simplifying m = 4.285714286
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