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Simplifying 9(3z + -1) = 20z + 12 Reorder the terms: 9(-1 + 3z) = 20z + 12 (-1 * 9 + 3z * 9) = 20z + 12 (-9 + 27z) = 20z + 12 Reorder the terms: -9 + 27z = 12 + 20z Solving -9 + 27z = 12 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -9 + 27z + -20z = 12 + 20z + -20z Combine like terms: 27z + -20z = 7z -9 + 7z = 12 + 20z + -20z Combine like terms: 20z + -20z = 0 -9 + 7z = 12 + 0 -9 + 7z = 12 Add '9' to each side of the equation. -9 + 9 + 7z = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 12 + 9 7z = 12 + 9 Combine like terms: 12 + 9 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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