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Simplifying 6(z + 5) = 72 + 3z Reorder the terms: 6(5 + z) = 72 + 3z (5 * 6 + z * 6) = 72 + 3z (30 + 6z) = 72 + 3z Solving 30 + 6z = 72 + 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. 30 + 6z + -3z = 72 + 3z + -3z Combine like terms: 6z + -3z = 3z 30 + 3z = 72 + 3z + -3z Combine like terms: 3z + -3z = 0 30 + 3z = 72 + 0 30 + 3z = 72 Add '-30' to each side of the equation. 30 + -30 + 3z = 72 + -30 Combine like terms: 30 + -30 = 0 0 + 3z = 72 + -30 3z = 72 + -30 Combine like terms: 72 + -30 = 42 3z = 42 Divide each side by '3'. z = 14 Simplifying z = 14
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