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Simplifying 6(m + -6) + 4(3m + 4) = 17(m + -2) + -2 Reorder the terms: 6(-6 + m) + 4(3m + 4) = 17(m + -2) + -2 (-6 * 6 + m * 6) + 4(3m + 4) = 17(m + -2) + -2 (-36 + 6m) + 4(3m + 4) = 17(m + -2) + -2 Reorder the terms: -36 + 6m + 4(4 + 3m) = 17(m + -2) + -2 -36 + 6m + (4 * 4 + 3m * 4) = 17(m + -2) + -2 -36 + 6m + (16 + 12m) = 17(m + -2) + -2 Reorder the terms: -36 + 16 + 6m + 12m = 17(m + -2) + -2 Combine like terms: -36 + 16 = -20 -20 + 6m + 12m = 17(m + -2) + -2 Combine like terms: 6m + 12m = 18m -20 + 18m = 17(m + -2) + -2 Reorder the terms: -20 + 18m = 17(-2 + m) + -2 -20 + 18m = (-2 * 17 + m * 17) + -2 -20 + 18m = (-34 + 17m) + -2 Reorder the terms: -20 + 18m = -34 + -2 + 17m Combine like terms: -34 + -2 = -36 -20 + 18m = -36 + 17m Solving -20 + 18m = -36 + 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. -20 + 18m + -17m = -36 + 17m + -17m Combine like terms: 18m + -17m = 1m -20 + 1m = -36 + 17m + -17m Combine like terms: 17m + -17m = 0 -20 + 1m = -36 + 0 -20 + 1m = -36 Add '20' to each side of the equation. -20 + 20 + 1m = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 1m = -36 + 20 1m = -36 + 20 Combine like terms: -36 + 20 = -16 1m = -16 Divide each side by '1'. m = -16 Simplifying m = -16
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