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Simplifying 5(m + -3) + 2(3m + 1) = 15 + -8 Reorder the terms: 5(-3 + m) + 2(3m + 1) = 15 + -8 (-3 * 5 + m * 5) + 2(3m + 1) = 15 + -8 (-15 + 5m) + 2(3m + 1) = 15 + -8 Reorder the terms: -15 + 5m + 2(1 + 3m) = 15 + -8 -15 + 5m + (1 * 2 + 3m * 2) = 15 + -8 -15 + 5m + (2 + 6m) = 15 + -8 Reorder the terms: -15 + 2 + 5m + 6m = 15 + -8 Combine like terms: -15 + 2 = -13 -13 + 5m + 6m = 15 + -8 Combine like terms: 5m + 6m = 11m -13 + 11m = 15 + -8 Combine like terms: 15 + -8 = 7 -13 + 11m = 7 Solving -13 + 11m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11m = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 11m = 7 + 13 11m = 7 + 13 Combine like terms: 7 + 13 = 20 11m = 20 Divide each side by '11'. m = 1.818181818 Simplifying m = 1.818181818
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