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Simplifying 9z + 1 = 3(5 + z) Reorder the terms: 1 + 9z = 3(5 + z) 1 + 9z = (5 * 3 + z * 3) 1 + 9z = (15 + 3z) Solving 1 + 9z = 15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 9z + -3z = 15 + 3z + -3z Combine like terms: 9z + -3z = 6z 1 + 6z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 6z = 15 + 0 1 + 6z = 15 Add '-1' to each side of the equation. 1 + -1 + 6z = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 15 + -1 6z = 15 + -1 Combine like terms: 15 + -1 = 14 6z = 14 Divide each side by '6'. z = 2.333333333 Simplifying z = 2.333333333
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