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Simplifying 2 + -1(17 + -5m) = 9m + -1(m + 7) 2 + (17 * -1 + -5m * -1) = 9m + -1(m + 7) 2 + (-17 + 5m) = 9m + -1(m + 7) Combine like terms: 2 + -17 = -15 -15 + 5m = 9m + -1(m + 7) Reorder the terms: -15 + 5m = 9m + -1(7 + m) -15 + 5m = 9m + (7 * -1 + m * -1) -15 + 5m = 9m + (-7 + -1m) Reorder the terms: -15 + 5m = -7 + 9m + -1m Combine like terms: 9m + -1m = 8m -15 + 5m = -7 + 8m Solving -15 + 5m = -7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -15 + 5m + -8m = -7 + 8m + -8m Combine like terms: 5m + -8m = -3m -15 + -3m = -7 + 8m + -8m Combine like terms: 8m + -8m = 0 -15 + -3m = -7 + 0 -15 + -3m = -7 Add '15' to each side of the equation. -15 + 15 + -3m = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -3m = -7 + 15 -3m = -7 + 15 Combine like terms: -7 + 15 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667
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