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Simplifying 5m + 3(4m + -5) = 5(m + 5) + -3 Reorder the terms: 5m + 3(-5 + 4m) = 5(m + 5) + -3 5m + (-5 * 3 + 4m * 3) = 5(m + 5) + -3 5m + (-15 + 12m) = 5(m + 5) + -3 Reorder the terms: -15 + 5m + 12m = 5(m + 5) + -3 Combine like terms: 5m + 12m = 17m -15 + 17m = 5(m + 5) + -3 Reorder the terms: -15 + 17m = 5(5 + m) + -3 -15 + 17m = (5 * 5 + m * 5) + -3 -15 + 17m = (25 + 5m) + -3 Reorder the terms: -15 + 17m = 25 + -3 + 5m Combine like terms: 25 + -3 = 22 -15 + 17m = 22 + 5m Solving -15 + 17m = 22 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -15 + 17m + -5m = 22 + 5m + -5m Combine like terms: 17m + -5m = 12m -15 + 12m = 22 + 5m + -5m Combine like terms: 5m + -5m = 0 -15 + 12m = 22 + 0 -15 + 12m = 22 Add '15' to each side of the equation. -15 + 15 + 12m = 22 + 15 Combine like terms: -15 + 15 = 0 0 + 12m = 22 + 15 12m = 22 + 15 Combine like terms: 22 + 15 = 37 12m = 37 Divide each side by '12'. m = 3.083333333 Simplifying m = 3.083333333
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