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Simplifying 4(2m + -7) + -3(2m + 5) = 8(15 + -1m) + -5(m + 6) Reorder the terms: 4(-7 + 2m) + -3(2m + 5) = 8(15 + -1m) + -5(m + 6) (-7 * 4 + 2m * 4) + -3(2m + 5) = 8(15 + -1m) + -5(m + 6) (-28 + 8m) + -3(2m + 5) = 8(15 + -1m) + -5(m + 6) Reorder the terms: -28 + 8m + -3(5 + 2m) = 8(15 + -1m) + -5(m + 6) -28 + 8m + (5 * -3 + 2m * -3) = 8(15 + -1m) + -5(m + 6) -28 + 8m + (-15 + -6m) = 8(15 + -1m) + -5(m + 6) Reorder the terms: -28 + -15 + 8m + -6m = 8(15 + -1m) + -5(m + 6) Combine like terms: -28 + -15 = -43 -43 + 8m + -6m = 8(15 + -1m) + -5(m + 6) Combine like terms: 8m + -6m = 2m -43 + 2m = 8(15 + -1m) + -5(m + 6) -43 + 2m = (15 * 8 + -1m * 8) + -5(m + 6) -43 + 2m = (120 + -8m) + -5(m + 6) Reorder the terms: -43 + 2m = 120 + -8m + -5(6 + m) -43 + 2m = 120 + -8m + (6 * -5 + m * -5) -43 + 2m = 120 + -8m + (-30 + -5m) Reorder the terms: -43 + 2m = 120 + -30 + -8m + -5m Combine like terms: 120 + -30 = 90 -43 + 2m = 90 + -8m + -5m Combine like terms: -8m + -5m = -13m -43 + 2m = 90 + -13m Solving -43 + 2m = 90 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -43 + 2m + 13m = 90 + -13m + 13m Combine like terms: 2m + 13m = 15m -43 + 15m = 90 + -13m + 13m Combine like terms: -13m + 13m = 0 -43 + 15m = 90 + 0 -43 + 15m = 90 Add '43' to each side of the equation. -43 + 43 + 15m = 90 + 43 Combine like terms: -43 + 43 = 0 0 + 15m = 90 + 43 15m = 90 + 43 Combine like terms: 90 + 43 = 133 15m = 133 Divide each side by '15'. m = 8.866666667 Simplifying m = 8.866666667
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