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Simplifying 7(z + 5) = 2(4 + -1z) Reorder the terms: 7(5 + z) = 2(4 + -1z) (5 * 7 + z * 7) = 2(4 + -1z) (35 + 7z) = 2(4 + -1z) 35 + 7z = (4 * 2 + -1z * 2) 35 + 7z = (8 + -2z) Solving 35 + 7z = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 35 + 7z + 2z = 8 + -2z + 2z Combine like terms: 7z + 2z = 9z 35 + 9z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 35 + 9z = 8 + 0 35 + 9z = 8 Add '-35' to each side of the equation. 35 + -35 + 9z = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 9z = 8 + -35 9z = 8 + -35 Combine like terms: 8 + -35 = -27 9z = -27 Divide each side by '9'. z = -3 Simplifying z = -3
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