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Simplifying 12 + 5m + -8 = 12m + -10 Reorder the terms: 12 + -8 + 5m = 12m + -10 Combine like terms: 12 + -8 = 4 4 + 5m = 12m + -10 Reorder the terms: 4 + 5m = -10 + 12m Solving 4 + 5m = -10 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 4 + 5m + -12m = -10 + 12m + -12m Combine like terms: 5m + -12m = -7m 4 + -7m = -10 + 12m + -12m Combine like terms: 12m + -12m = 0 4 + -7m = -10 + 0 4 + -7m = -10 Add '-4' to each side of the equation. 4 + -4 + -7m = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = -10 + -4 -7m = -10 + -4 Combine like terms: -10 + -4 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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