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Simplifying 100 + 5m = 130 + -2m Solving 100 + 5m = 130 + -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. 100 + 5m + 2m = 130 + -2m + 2m Combine like terms: 5m + 2m = 7m 100 + 7m = 130 + -2m + 2m Combine like terms: -2m + 2m = 0 100 + 7m = 130 + 0 100 + 7m = 130 Add '-100' to each side of the equation. 100 + -100 + 7m = 130 + -100 Combine like terms: 100 + -100 = 0 0 + 7m = 130 + -100 7m = 130 + -100 Combine like terms: 130 + -100 = 30 7m = 30 Divide each side by '7'. m = 4.285714286 Simplifying m = 4.285714286
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