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Simplifying -9(m + 9) + 3(9m + 9) = 17(m + -4) + -1 Reorder the terms: -9(9 + m) + 3(9m + 9) = 17(m + -4) + -1 (9 * -9 + m * -9) + 3(9m + 9) = 17(m + -4) + -1 (-81 + -9m) + 3(9m + 9) = 17(m + -4) + -1 Reorder the terms: -81 + -9m + 3(9 + 9m) = 17(m + -4) + -1 -81 + -9m + (9 * 3 + 9m * 3) = 17(m + -4) + -1 -81 + -9m + (27 + 27m) = 17(m + -4) + -1 Reorder the terms: -81 + 27 + -9m + 27m = 17(m + -4) + -1 Combine like terms: -81 + 27 = -54 -54 + -9m + 27m = 17(m + -4) + -1 Combine like terms: -9m + 27m = 18m -54 + 18m = 17(m + -4) + -1 Reorder the terms: -54 + 18m = 17(-4 + m) + -1 -54 + 18m = (-4 * 17 + m * 17) + -1 -54 + 18m = (-68 + 17m) + -1 Reorder the terms: -54 + 18m = -68 + -1 + 17m Combine like terms: -68 + -1 = -69 -54 + 18m = -69 + 17m Solving -54 + 18m = -69 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. -54 + 18m + -17m = -69 + 17m + -17m Combine like terms: 18m + -17m = 1m -54 + 1m = -69 + 17m + -17m Combine like terms: 17m + -17m = 0 -54 + 1m = -69 + 0 -54 + 1m = -69 Add '54' to each side of the equation. -54 + 54 + 1m = -69 + 54 Combine like terms: -54 + 54 = 0 0 + 1m = -69 + 54 1m = -69 + 54 Combine like terms: -69 + 54 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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