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Simplifying 6(z + 5) = 42 + 2z Reorder the terms: 6(5 + z) = 42 + 2z (5 * 6 + z * 6) = 42 + 2z (30 + 6z) = 42 + 2z Solving 30 + 6z = 42 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 30 + 6z + -2z = 42 + 2z + -2z Combine like terms: 6z + -2z = 4z 30 + 4z = 42 + 2z + -2z Combine like terms: 2z + -2z = 0 30 + 4z = 42 + 0 30 + 4z = 42 Add '-30' to each side of the equation. 30 + -30 + 4z = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 4z = 42 + -30 4z = 42 + -30 Combine like terms: 42 + -30 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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