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Simplifying -7(z + 5) = 1 Reorder the terms: -7(5 + z) = 1 (5 * -7 + z * -7) = 1 (-35 + -7z) = 1 Solving -35 + -7z = 1 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 = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -7z = 1 + 35 -7z = 1 + 35 Combine like terms: 1 + 35 = 36 -7z = 36 Divide each side by '-7'. z = -5.142857143 Simplifying z = -5.142857143
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