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Simplifying 8z + 4 = 5(13 + z) Reorder the terms: 4 + 8z = 5(13 + z) 4 + 8z = (13 * 5 + z * 5) 4 + 8z = (65 + 5z) Solving 4 + 8z = 65 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 8z + -5z = 65 + 5z + -5z Combine like terms: 8z + -5z = 3z 4 + 3z = 65 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 3z = 65 + 0 4 + 3z = 65 Add '-4' to each side of the equation. 4 + -4 + 3z = 65 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 65 + -4 3z = 65 + -4 Combine like terms: 65 + -4 = 61 3z = 61 Divide each side by '3'. z = 20.33333333 Simplifying z = 20.33333333
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