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Simplifying 2(z + 7) = 9z Reorder the terms: 2(7 + z) = 9z (7 * 2 + z * 2) = 9z (14 + 2z) = 9z Solving 14 + 2z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 14 + 2z + -9z = 9z + -9z Combine like terms: 2z + -9z = -7z 14 + -7z = 9z + -9z Combine like terms: 9z + -9z = 0 14 + -7z = 0 Add '-14' to each side of the equation. 14 + -14 + -7z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7z = 0 + -14 -7z = 0 + -14 Combine like terms: 0 + -14 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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