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Simplifying 6(z + 10) + 3(z + 8) = 129 Reorder the terms: 6(10 + z) + 3(z + 8) = 129 (10 * 6 + z * 6) + 3(z + 8) = 129 (60 + 6z) + 3(z + 8) = 129 Reorder the terms: 60 + 6z + 3(8 + z) = 129 60 + 6z + (8 * 3 + z * 3) = 129 60 + 6z + (24 + 3z) = 129 Reorder the terms: 60 + 24 + 6z + 3z = 129 Combine like terms: 60 + 24 = 84 84 + 6z + 3z = 129 Combine like terms: 6z + 3z = 9z 84 + 9z = 129 Solving 84 + 9z = 129 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 9z = 129 + -84 Combine like terms: 84 + -84 = 0 0 + 9z = 129 + -84 9z = 129 + -84 Combine like terms: 129 + -84 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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