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Simplifying 2(7m + -5) = 5 + 9m Reorder the terms: 2(-5 + 7m) = 5 + 9m (-5 * 2 + 7m * 2) = 5 + 9m (-10 + 14m) = 5 + 9m Solving -10 + 14m = 5 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -10 + 14m + -9m = 5 + 9m + -9m Combine like terms: 14m + -9m = 5m -10 + 5m = 5 + 9m + -9m Combine like terms: 9m + -9m = 0 -10 + 5m = 5 + 0 -10 + 5m = 5 Add '10' to each side of the equation. -10 + 10 + 5m = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5m = 5 + 10 5m = 5 + 10 Combine like terms: 5 + 10 = 15 5m = 15 Divide each side by '5'. m = 3 Simplifying m = 3
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