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Simplifying 2(m + -9) + -4(3 + -2m) = 9(m + -2) + 9 Reorder the terms: 2(-9 + m) + -4(3 + -2m) = 9(m + -2) + 9 (-9 * 2 + m * 2) + -4(3 + -2m) = 9(m + -2) + 9 (-18 + 2m) + -4(3 + -2m) = 9(m + -2) + 9 -18 + 2m + (3 * -4 + -2m * -4) = 9(m + -2) + 9 -18 + 2m + (-12 + 8m) = 9(m + -2) + 9 Reorder the terms: -18 + -12 + 2m + 8m = 9(m + -2) + 9 Combine like terms: -18 + -12 = -30 -30 + 2m + 8m = 9(m + -2) + 9 Combine like terms: 2m + 8m = 10m -30 + 10m = 9(m + -2) + 9 Reorder the terms: -30 + 10m = 9(-2 + m) + 9 -30 + 10m = (-2 * 9 + m * 9) + 9 -30 + 10m = (-18 + 9m) + 9 Reorder the terms: -30 + 10m = -18 + 9 + 9m Combine like terms: -18 + 9 = -9 -30 + 10m = -9 + 9m Solving -30 + 10m = -9 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -30 + 10m + -9m = -9 + 9m + -9m Combine like terms: 10m + -9m = 1m -30 + 1m = -9 + 9m + -9m Combine like terms: 9m + -9m = 0 -30 + 1m = -9 + 0 -30 + 1m = -9 Add '30' to each side of the equation. -30 + 30 + 1m = -9 + 30 Combine like terms: -30 + 30 = 0 0 + 1m = -9 + 30 1m = -9 + 30 Combine like terms: -9 + 30 = 21 1m = 21 Divide each side by '1'. m = 21 Simplifying m = 21
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