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Simplifying 3(7z + 6) = 27 + 2z Reorder the terms: 3(6 + 7z) = 27 + 2z (6 * 3 + 7z * 3) = 27 + 2z (18 + 21z) = 27 + 2z Solving 18 + 21z = 27 + 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. 18 + 21z + -2z = 27 + 2z + -2z Combine like terms: 21z + -2z = 19z 18 + 19z = 27 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + 19z = 27 + 0 18 + 19z = 27 Add '-18' to each side of the equation. 18 + -18 + 19z = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 19z = 27 + -18 19z = 27 + -18 Combine like terms: 27 + -18 = 9 19z = 9 Divide each side by '19'. z = 0.4736842105 Simplifying z = 0.4736842105
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