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Simplifying 3m + 6 + 5(3m + -4) = 4(m + 4) Reorder the terms: 3m + 6 + 5(-4 + 3m) = 4(m + 4) 3m + 6 + (-4 * 5 + 3m * 5) = 4(m + 4) 3m + 6 + (-20 + 15m) = 4(m + 4) Reorder the terms: 6 + -20 + 3m + 15m = 4(m + 4) Combine like terms: 6 + -20 = -14 -14 + 3m + 15m = 4(m + 4) Combine like terms: 3m + 15m = 18m -14 + 18m = 4(m + 4) Reorder the terms: -14 + 18m = 4(4 + m) -14 + 18m = (4 * 4 + m * 4) -14 + 18m = (16 + 4m) Solving -14 + 18m = 16 + 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. -14 + 18m + -4m = 16 + 4m + -4m Combine like terms: 18m + -4m = 14m -14 + 14m = 16 + 4m + -4m Combine like terms: 4m + -4m = 0 -14 + 14m = 16 + 0 -14 + 14m = 16 Add '14' to each side of the equation. -14 + 14 + 14m = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 14m = 16 + 14 14m = 16 + 14 Combine like terms: 16 + 14 = 30 14m = 30 Divide each side by '14'. m = 2.142857143 Simplifying m = 2.142857143
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