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Simplifying 85 = 5(2 + 4z) 85 = (2 * 5 + 4z * 5) 85 = (10 + 20z) Solving 85 = 10 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. 85 + -20z = 10 + 20z + -20z Combine like terms: 20z + -20z = 0 85 + -20z = 10 + 0 85 + -20z = 10 Add '-85' to each side of the equation. 85 + -85 + -20z = 10 + -85 Combine like terms: 85 + -85 = 0 0 + -20z = 10 + -85 -20z = 10 + -85 Combine like terms: 10 + -85 = -75 -20z = -75 Divide each side by '-20'. z = 3.75 Simplifying z = 3.75
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