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Simplifying 2(5z + 1) = 42 Reorder the terms: 2(1 + 5z) = 42 (1 * 2 + 5z * 2) = 42 (2 + 10z) = 42 Solving 2 + 10z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10z = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 10z = 42 + -2 10z = 42 + -2 Combine like terms: 42 + -2 = 40 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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