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Simplifying 9(m + 3) + 4(6m + -8) = 32(m + -1) + -3 Reorder the terms: 9(3 + m) + 4(6m + -8) = 32(m + -1) + -3 (3 * 9 + m * 9) + 4(6m + -8) = 32(m + -1) + -3 (27 + 9m) + 4(6m + -8) = 32(m + -1) + -3 Reorder the terms: 27 + 9m + 4(-8 + 6m) = 32(m + -1) + -3 27 + 9m + (-8 * 4 + 6m * 4) = 32(m + -1) + -3 27 + 9m + (-32 + 24m) = 32(m + -1) + -3 Reorder the terms: 27 + -32 + 9m + 24m = 32(m + -1) + -3 Combine like terms: 27 + -32 = -5 -5 + 9m + 24m = 32(m + -1) + -3 Combine like terms: 9m + 24m = 33m -5 + 33m = 32(m + -1) + -3 Reorder the terms: -5 + 33m = 32(-1 + m) + -3 -5 + 33m = (-1 * 32 + m * 32) + -3 -5 + 33m = (-32 + 32m) + -3 Reorder the terms: -5 + 33m = -32 + -3 + 32m Combine like terms: -32 + -3 = -35 -5 + 33m = -35 + 32m Solving -5 + 33m = -35 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. -5 + 33m + -32m = -35 + 32m + -32m Combine like terms: 33m + -32m = 1m -5 + 1m = -35 + 32m + -32m Combine like terms: 32m + -32m = 0 -5 + 1m = -35 + 0 -5 + 1m = -35 Add '5' to each side of the equation. -5 + 5 + 1m = -35 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = -35 + 5 1m = -35 + 5 Combine like terms: -35 + 5 = -30 1m = -30 Divide each side by '1'. m = -30 Simplifying m = -30
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