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Simplifying 3m(2m + 5) + -8 = 2m(3m + 5) + 2 Reorder the terms: 3m(5 + 2m) + -8 = 2m(3m + 5) + 2 (5 * 3m + 2m * 3m) + -8 = 2m(3m + 5) + 2 (15m + 6m2) + -8 = 2m(3m + 5) + 2 Reorder the terms: -8 + 15m + 6m2 = 2m(3m + 5) + 2 Reorder the terms: -8 + 15m + 6m2 = 2m(5 + 3m) + 2 -8 + 15m + 6m2 = (5 * 2m + 3m * 2m) + 2 -8 + 15m + 6m2 = (10m + 6m2) + 2 Reorder the terms: -8 + 15m + 6m2 = 2 + 10m + 6m2 Add '-6m2' to each side of the equation. -8 + 15m + 6m2 + -6m2 = 2 + 10m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -8 + 15m + 0 = 2 + 10m + 6m2 + -6m2 -8 + 15m = 2 + 10m + 6m2 + -6m2 Combine like terms: 6m2 + -6m2 = 0 -8 + 15m = 2 + 10m + 0 -8 + 15m = 2 + 10m Solving -8 + 15m = 2 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -8 + 15m + -10m = 2 + 10m + -10m Combine like terms: 15m + -10m = 5m -8 + 5m = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -8 + 5m = 2 + 0 -8 + 5m = 2 Add '8' to each side of the equation. -8 + 8 + 5m = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5m = 2 + 8 5m = 2 + 8 Combine like terms: 2 + 8 = 10 5m = 10 Divide each side by '5'. m = 2 Simplifying m = 2
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