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Simplifying 5m + 2m + 100 = 15m + 20 Reorder the terms: 100 + 5m + 2m = 15m + 20 Combine like terms: 5m + 2m = 7m 100 + 7m = 15m + 20 Reorder the terms: 100 + 7m = 20 + 15m Solving 100 + 7m = 20 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 100 + 7m + -15m = 20 + 15m + -15m Combine like terms: 7m + -15m = -8m 100 + -8m = 20 + 15m + -15m Combine like terms: 15m + -15m = 0 100 + -8m = 20 + 0 100 + -8m = 20 Add '-100' to each side of the equation. 100 + -100 + -8m = 20 + -100 Combine like terms: 100 + -100 = 0 0 + -8m = 20 + -100 -8m = 20 + -100 Combine like terms: 20 + -100 = -80 -8m = -80 Divide each side by '-8'. m = 10 Simplifying m = 10
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