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