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Simplifying 5m + -12 = -2m + 7 Reorder the terms: -12 + 5m = -2m + 7 Reorder the terms: -12 + 5m = 7 + -2m Solving -12 + 5m = 7 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -12 + 5m + 2m = 7 + -2m + 2m Combine like terms: 5m + 2m = 7m -12 + 7m = 7 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 7m = 7 + 0 -12 + 7m = 7 Add '12' to each side of the equation. -12 + 12 + 7m = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 7m = 7 + 12 7m = 7 + 12 Combine like terms: 7 + 12 = 19 7m = 19 Divide each side by '7'. m = 2.714285714 Simplifying m = 2.714285714
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