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Simplifying 9(z + 1) = 5(z + 5) Reorder the terms: 9(1 + z) = 5(z + 5) (1 * 9 + z * 9) = 5(z + 5) (9 + 9z) = 5(z + 5) Reorder the terms: 9 + 9z = 5(5 + z) 9 + 9z = (5 * 5 + z * 5) 9 + 9z = (25 + 5z) Solving 9 + 9z = 25 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + 9z + -5z = 25 + 5z + -5z Combine like terms: 9z + -5z = 4z 9 + 4z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + 4z = 25 + 0 9 + 4z = 25 Add '-9' to each side of the equation. 9 + -9 + 4z = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 25 + -9 4z = 25 + -9 Combine like terms: 25 + -9 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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