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Simplifying 8(3z + 5 + 2z) = 160 Reorder the terms: 8(5 + 3z + 2z) = 160 Combine like terms: 3z + 2z = 5z 8(5 + 5z) = 160 (5 * 8 + 5z * 8) = 160 (40 + 40z) = 160 Solving 40 + 40z = 160 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 40z = 160 + -40 Combine like terms: 40 + -40 = 0 0 + 40z = 160 + -40 40z = 160 + -40 Combine like terms: 160 + -40 = 120 40z = 120 Divide each side by '40'. z = 3 Simplifying z = 3
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