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Simplifying 3m + 7 + 4(3m + -5) = 5(m + 5) Reorder the terms: 3m + 7 + 4(-5 + 3m) = 5(m + 5) 3m + 7 + (-5 * 4 + 3m * 4) = 5(m + 5) 3m + 7 + (-20 + 12m) = 5(m + 5) Reorder the terms: 7 + -20 + 3m + 12m = 5(m + 5) Combine like terms: 7 + -20 = -13 -13 + 3m + 12m = 5(m + 5) Combine like terms: 3m + 12m = 15m -13 + 15m = 5(m + 5) Reorder the terms: -13 + 15m = 5(5 + m) -13 + 15m = (5 * 5 + m * 5) -13 + 15m = (25 + 5m) Solving -13 + 15m = 25 + 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. -13 + 15m + -5m = 25 + 5m + -5m Combine like terms: 15m + -5m = 10m -13 + 10m = 25 + 5m + -5m Combine like terms: 5m + -5m = 0 -13 + 10m = 25 + 0 -13 + 10m = 25 Add '13' to each side of the equation. -13 + 13 + 10m = 25 + 13 Combine like terms: -13 + 13 = 0 0 + 10m = 25 + 13 10m = 25 + 13 Combine like terms: 25 + 13 = 38 10m = 38 Divide each side by '10'. m = 3.8 Simplifying m = 3.8
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