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Simplifying 12 + 5m = 7m + -2 Reorder the terms: 12 + 5m = -2 + 7m Solving 12 + 5m = -2 + 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. 12 + 5m + -7m = -2 + 7m + -7m Combine like terms: 5m + -7m = -2m 12 + -2m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + -2m = -2 + 0 12 + -2m = -2 Add '-12' to each side of the equation. 12 + -12 + -2m = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = -2 + -12 -2m = -2 + -12 Combine like terms: -2 + -12 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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