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Simplifying 6(z + 6) = 38 + 4z Reorder the terms: 6(6 + z) = 38 + 4z (6 * 6 + z * 6) = 38 + 4z (36 + 6z) = 38 + 4z Solving 36 + 6z = 38 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 36 + 6z + -4z = 38 + 4z + -4z Combine like terms: 6z + -4z = 2z 36 + 2z = 38 + 4z + -4z Combine like terms: 4z + -4z = 0 36 + 2z = 38 + 0 36 + 2z = 38 Add '-36' to each side of the equation. 36 + -36 + 2z = 38 + -36 Combine like terms: 36 + -36 = 0 0 + 2z = 38 + -36 2z = 38 + -36 Combine like terms: 38 + -36 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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