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Simplifying 2m + -3 + 12m = 15 + 7m + -4 Reorder the terms: -3 + 2m + 12m = 15 + 7m + -4 Combine like terms: 2m + 12m = 14m -3 + 14m = 15 + 7m + -4 Reorder the terms: -3 + 14m = 15 + -4 + 7m Combine like terms: 15 + -4 = 11 -3 + 14m = 11 + 7m Solving -3 + 14m = 11 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -3 + 14m + -7m = 11 + 7m + -7m Combine like terms: 14m + -7m = 7m -3 + 7m = 11 + 7m + -7m Combine like terms: 7m + -7m = 0 -3 + 7m = 11 + 0 -3 + 7m = 11 Add '3' to each side of the equation. -3 + 3 + 7m = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7m = 11 + 3 7m = 11 + 3 Combine like terms: 11 + 3 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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