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Simplifying 5m + 10(10) = 3m + -2 Multiply 10 * 10 5m + 100 = 3m + -2 Reorder the terms: 100 + 5m = 3m + -2 Reorder the terms: 100 + 5m = -2 + 3m Solving 100 + 5m = -2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 100 + 5m + -3m = -2 + 3m + -3m Combine like terms: 5m + -3m = 2m 100 + 2m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 100 + 2m = -2 + 0 100 + 2m = -2 Add '-100' to each side of the equation. 100 + -100 + 2m = -2 + -100 Combine like terms: 100 + -100 = 0 0 + 2m = -2 + -100 2m = -2 + -100 Combine like terms: -2 + -100 = -102 2m = -102 Divide each side by '2'. m = -51 Simplifying m = -51
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