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Simplifying 7(z + 5) = 31 Reorder the terms: 7(5 + z) = 31 (5 * 7 + z * 7) = 31 (35 + 7z) = 31 Solving 35 + 7z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7z = 31 + -35 Combine like terms: 35 + -35 = 0 0 + 7z = 31 + -35 7z = 31 + -35 Combine like terms: 31 + -35 = -4 7z = -4 Divide each side by '7'. z = -0.5714285714 Simplifying z = -0.5714285714
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