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Simplifying 7(z + 2) = 5z + 2 Reorder the terms: 7(2 + z) = 5z + 2 (2 * 7 + z * 7) = 5z + 2 (14 + 7z) = 5z + 2 Reorder the terms: 14 + 7z = 2 + 5z Solving 14 + 7z = 2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 14 + 7z + -5z = 2 + 5z + -5z Combine like terms: 7z + -5z = 2z 14 + 2z = 2 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + 2z = 2 + 0 14 + 2z = 2 Add '-14' to each side of the equation. 14 + -14 + 2z = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = 2 + -14 2z = 2 + -14 Combine like terms: 2 + -14 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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