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Simplifying 6(5 + z) = 42 (5 * 6 + z * 6) = 42 (30 + 6z) = 42 Solving 30 + 6z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6z = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 6z = 42 + -30 6z = 42 + -30 Combine like terms: 42 + -30 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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