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Simplifying 8(9z + 4) = 5(13 + z) Reorder the terms: 8(4 + 9z) = 5(13 + z) (4 * 8 + 9z * 8) = 5(13 + z) (32 + 72z) = 5(13 + z) 32 + 72z = (13 * 5 + z * 5) 32 + 72z = (65 + 5z) Solving 32 + 72z = 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. 32 + 72z + -5z = 65 + 5z + -5z Combine like terms: 72z + -5z = 67z 32 + 67z = 65 + 5z + -5z Combine like terms: 5z + -5z = 0 32 + 67z = 65 + 0 32 + 67z = 65 Add '-32' to each side of the equation. 32 + -32 + 67z = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 67z = 65 + -32 67z = 65 + -32 Combine like terms: 65 + -32 = 33 67z = 33 Divide each side by '67'. z = 0.4925373134 Simplifying z = 0.4925373134
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