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Simplifying 5m + 8 = 2(2m + -3) Reorder the terms: 8 + 5m = 2(2m + -3) Reorder the terms: 8 + 5m = 2(-3 + 2m) 8 + 5m = (-3 * 2 + 2m * 2) 8 + 5m = (-6 + 4m) Solving 8 + 5m = -6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8 + 5m + -4m = -6 + 4m + -4m Combine like terms: 5m + -4m = 1m 8 + 1m = -6 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + 1m = -6 + 0 8 + 1m = -6 Add '-8' to each side of the equation. 8 + -8 + 1m = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1m = -6 + -8 1m = -6 + -8 Combine like terms: -6 + -8 = -14 1m = -14 Divide each side by '1'. m = -14 Simplifying m = -14
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