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Simplifying 3m + 7 + 5(2m + -3) = 3(m + 3) Reorder the terms: 3m + 7 + 5(-3 + 2m) = 3(m + 3) 3m + 7 + (-3 * 5 + 2m * 5) = 3(m + 3) 3m + 7 + (-15 + 10m) = 3(m + 3) Reorder the terms: 7 + -15 + 3m + 10m = 3(m + 3) Combine like terms: 7 + -15 = -8 -8 + 3m + 10m = 3(m + 3) Combine like terms: 3m + 10m = 13m -8 + 13m = 3(m + 3) Reorder the terms: -8 + 13m = 3(3 + m) -8 + 13m = (3 * 3 + m * 3) -8 + 13m = (9 + 3m) Solving -8 + 13m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -8 + 13m + -3m = 9 + 3m + -3m Combine like terms: 13m + -3m = 10m -8 + 10m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + 10m = 9 + 0 -8 + 10m = 9 Add '8' to each side of the equation. -8 + 8 + 10m = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 10m = 9 + 8 10m = 9 + 8 Combine like terms: 9 + 8 = 17 10m = 17 Divide each side by '10'. m = 1.7 Simplifying m = 1.7
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