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Simplifying 5(7z + 3) = 33 + 8z Reorder the terms: 5(3 + 7z) = 33 + 8z (3 * 5 + 7z * 5) = 33 + 8z (15 + 35z) = 33 + 8z Solving 15 + 35z = 33 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 15 + 35z + -8z = 33 + 8z + -8z Combine like terms: 35z + -8z = 27z 15 + 27z = 33 + 8z + -8z Combine like terms: 8z + -8z = 0 15 + 27z = 33 + 0 15 + 27z = 33 Add '-15' to each side of the equation. 15 + -15 + 27z = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 27z = 33 + -15 27z = 33 + -15 Combine like terms: 33 + -15 = 18 27z = 18 Divide each side by '27'. z = 0.6666666667 Simplifying z = 0.6666666667
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