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Simplifying 5(2 + 4z) = 83 (2 * 5 + 4z * 5) = 83 (10 + 20z) = 83 Solving 10 + 20z = 83 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20z = 83 + -10 Combine like terms: 10 + -10 = 0 0 + 20z = 83 + -10 20z = 83 + -10 Combine like terms: 83 + -10 = 73 20z = 73 Divide each side by '20'. z = 3.65 Simplifying z = 3.65
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