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Simplifying 12m + 13 = 5m + -8 Reorder the terms: 13 + 12m = 5m + -8 Reorder the terms: 13 + 12m = -8 + 5m Solving 13 + 12m = -8 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 13 + 12m + -5m = -8 + 5m + -5m Combine like terms: 12m + -5m = 7m 13 + 7m = -8 + 5m + -5m Combine like terms: 5m + -5m = 0 13 + 7m = -8 + 0 13 + 7m = -8 Add '-13' to each side of the equation. 13 + -13 + 7m = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 7m = -8 + -13 7m = -8 + -13 Combine like terms: -8 + -13 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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