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Simplifying 5m + 10 = 7m + -2 Reorder the terms: 10 + 5m = 7m + -2 Reorder the terms: 10 + 5m = -2 + 7m Solving 10 + 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. 10 + 5m + -7m = -2 + 7m + -7m Combine like terms: 5m + -7m = -2m 10 + -2m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 10 + -2m = -2 + 0 10 + -2m = -2 Add '-10' to each side of the equation. 10 + -10 + -2m = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2m = -2 + -10 -2m = -2 + -10 Combine like terms: -2 + -10 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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