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Simplifying (5m + 100) = (2m + 10) Reorder the terms: (100 + 5m) = (2m + 10) Remove parenthesis around (100 + 5m) 100 + 5m = (2m + 10) Reorder the terms: 100 + 5m = (10 + 2m) Remove parenthesis around (10 + 2m) 100 + 5m = 10 + 2m Solving 100 + 5m = 10 + 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 = 10 + 2m + -2m Combine like terms: 5m + -2m = 3m 100 + 3m = 10 + 2m + -2m Combine like terms: 2m + -2m = 0 100 + 3m = 10 + 0 100 + 3m = 10 Add '-100' to each side of the equation. 100 + -100 + 3m = 10 + -100 Combine like terms: 100 + -100 = 0 0 + 3m = 10 + -100 3m = 10 + -100 Combine like terms: 10 + -100 = -90 3m = -90 Divide each side by '3'. m = -30 Simplifying m = -30
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