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Simplifying 6(z + 4) + -9 = 12 + -32 Reorder the terms: 6(4 + z) + -9 = 12 + -32 (4 * 6 + z * 6) + -9 = 12 + -32 (24 + 6z) + -9 = 12 + -32 Reorder the terms: 24 + -9 + 6z = 12 + -32 Combine like terms: 24 + -9 = 15 15 + 6z = 12 + -32 Combine like terms: 12 + -32 = -20 15 + 6z = -20 Solving 15 + 6z = -20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6z = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 6z = -20 + -15 6z = -20 + -15 Combine like terms: -20 + -15 = -35 6z = -35 Divide each side by '6'. z = -5.833333333 Simplifying z = -5.833333333
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