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Simplifying 5(m + 2) + -7(3 + -4m) = 32(m + -1) + 9 Reorder the terms: 5(2 + m) + -7(3 + -4m) = 32(m + -1) + 9 (2 * 5 + m * 5) + -7(3 + -4m) = 32(m + -1) + 9 (10 + 5m) + -7(3 + -4m) = 32(m + -1) + 9 10 + 5m + (3 * -7 + -4m * -7) = 32(m + -1) + 9 10 + 5m + (-21 + 28m) = 32(m + -1) + 9 Reorder the terms: 10 + -21 + 5m + 28m = 32(m + -1) + 9 Combine like terms: 10 + -21 = -11 -11 + 5m + 28m = 32(m + -1) + 9 Combine like terms: 5m + 28m = 33m -11 + 33m = 32(m + -1) + 9 Reorder the terms: -11 + 33m = 32(-1 + m) + 9 -11 + 33m = (-1 * 32 + m * 32) + 9 -11 + 33m = (-32 + 32m) + 9 Reorder the terms: -11 + 33m = -32 + 9 + 32m Combine like terms: -32 + 9 = -23 -11 + 33m = -23 + 32m Solving -11 + 33m = -23 + 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. -11 + 33m + -32m = -23 + 32m + -32m Combine like terms: 33m + -32m = 1m -11 + 1m = -23 + 32m + -32m Combine like terms: 32m + -32m = 0 -11 + 1m = -23 + 0 -11 + 1m = -23 Add '11' to each side of the equation. -11 + 11 + 1m = -23 + 11 Combine like terms: -11 + 11 = 0 0 + 1m = -23 + 11 1m = -23 + 11 Combine like terms: -23 + 11 = -12 1m = -12 Divide each side by '1'. m = -12 Simplifying m = -12
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