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Simplifying 3(4z + 9) = 20 + -7z Reorder the terms: 3(9 + 4z) = 20 + -7z (9 * 3 + 4z * 3) = 20 + -7z (27 + 12z) = 20 + -7z Solving 27 + 12z = 20 + -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. 27 + 12z + 7z = 20 + -7z + 7z Combine like terms: 12z + 7z = 19z 27 + 19z = 20 + -7z + 7z Combine like terms: -7z + 7z = 0 27 + 19z = 20 + 0 27 + 19z = 20 Add '-27' to each side of the equation. 27 + -27 + 19z = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 19z = 20 + -27 19z = 20 + -27 Combine like terms: 20 + -27 = -7 19z = -7 Divide each side by '19'. z = -0.3684210526 Simplifying z = -0.3684210526
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