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Simplifying 7(z + 2) = 5(z + 1) + -9 Reorder the terms: 7(2 + z) = 5(z + 1) + -9 (2 * 7 + z * 7) = 5(z + 1) + -9 (14 + 7z) = 5(z + 1) + -9 Reorder the terms: 14 + 7z = 5(1 + z) + -9 14 + 7z = (1 * 5 + z * 5) + -9 14 + 7z = (5 + 5z) + -9 Reorder the terms: 14 + 7z = 5 + -9 + 5z Combine like terms: 5 + -9 = -4 14 + 7z = -4 + 5z Solving 14 + 7z = -4 + 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 = -4 + 5z + -5z Combine like terms: 7z + -5z = 2z 14 + 2z = -4 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + 2z = -4 + 0 14 + 2z = -4 Add '-14' to each side of the equation. 14 + -14 + 2z = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = -4 + -14 2z = -4 + -14 Combine like terms: -4 + -14 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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