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Simplifying 3(z + 5) = 8z Reorder the terms: 3(5 + z) = 8z (5 * 3 + z * 3) = 8z (15 + 3z) = 8z Solving 15 + 3z = 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 + 3z + -8z = 8z + -8z Combine like terms: 3z + -8z = -5z 15 + -5z = 8z + -8z Combine like terms: 8z + -8z = 0 15 + -5z = 0 Add '-15' to each side of the equation. 15 + -15 + -5z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5z = 0 + -15 -5z = 0 + -15 Combine like terms: 0 + -15 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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