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Simplifying 4(8 + -1z) = 9(z + 8) (8 * 4 + -1z * 4) = 9(z + 8) (32 + -4z) = 9(z + 8) Reorder the terms: 32 + -4z = 9(8 + z) 32 + -4z = (8 * 9 + z * 9) 32 + -4z = (72 + 9z) Solving 32 + -4z = 72 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 32 + -4z + -9z = 72 + 9z + -9z Combine like terms: -4z + -9z = -13z 32 + -13z = 72 + 9z + -9z Combine like terms: 9z + -9z = 0 32 + -13z = 72 + 0 32 + -13z = 72 Add '-32' to each side of the equation. 32 + -32 + -13z = 72 + -32 Combine like terms: 32 + -32 = 0 0 + -13z = 72 + -32 -13z = 72 + -32 Combine like terms: 72 + -32 = 40 -13z = 40 Divide each side by '-13'. z = -3.076923077 Simplifying z = -3.076923077
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