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Simplifying 3(6z + 6) = 40 + 7z Reorder the terms: 3(6 + 6z) = 40 + 7z (6 * 3 + 6z * 3) = 40 + 7z (18 + 18z) = 40 + 7z Solving 18 + 18z = 40 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 18 + 18z + -7z = 40 + 7z + -7z Combine like terms: 18z + -7z = 11z 18 + 11z = 40 + 7z + -7z Combine like terms: 7z + -7z = 0 18 + 11z = 40 + 0 18 + 11z = 40 Add '-18' to each side of the equation. 18 + -18 + 11z = 40 + -18 Combine like terms: 18 + -18 = 0 0 + 11z = 40 + -18 11z = 40 + -18 Combine like terms: 40 + -18 = 22 11z = 22 Divide each side by '11'. z = 2 Simplifying z = 2
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