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Simplifying 3(m + 8) + -4(-9m + -8) = 38(m + 2) + -4 Reorder the terms: 3(8 + m) + -4(-9m + -8) = 38(m + 2) + -4 (8 * 3 + m * 3) + -4(-9m + -8) = 38(m + 2) + -4 (24 + 3m) + -4(-9m + -8) = 38(m + 2) + -4 Reorder the terms: 24 + 3m + -4(-8 + -9m) = 38(m + 2) + -4 24 + 3m + (-8 * -4 + -9m * -4) = 38(m + 2) + -4 24 + 3m + (32 + 36m) = 38(m + 2) + -4 Reorder the terms: 24 + 32 + 3m + 36m = 38(m + 2) + -4 Combine like terms: 24 + 32 = 56 56 + 3m + 36m = 38(m + 2) + -4 Combine like terms: 3m + 36m = 39m 56 + 39m = 38(m + 2) + -4 Reorder the terms: 56 + 39m = 38(2 + m) + -4 56 + 39m = (2 * 38 + m * 38) + -4 56 + 39m = (76 + 38m) + -4 Reorder the terms: 56 + 39m = 76 + -4 + 38m Combine like terms: 76 + -4 = 72 56 + 39m = 72 + 38m Solving 56 + 39m = 72 + 38m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-38m' to each side of the equation. 56 + 39m + -38m = 72 + 38m + -38m Combine like terms: 39m + -38m = 1m 56 + 1m = 72 + 38m + -38m Combine like terms: 38m + -38m = 0 56 + 1m = 72 + 0 56 + 1m = 72 Add '-56' to each side of the equation. 56 + -56 + 1m = 72 + -56 Combine like terms: 56 + -56 = 0 0 + 1m = 72 + -56 1m = 72 + -56 Combine like terms: 72 + -56 = 16 1m = 16 Divide each side by '1'. m = 16 Simplifying m = 16
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