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Simplifying 5(5 + -1z) = 4(z + -5) (5 * 5 + -1z * 5) = 4(z + -5) (25 + -5z) = 4(z + -5) Reorder the terms: 25 + -5z = 4(-5 + z) 25 + -5z = (-5 * 4 + z * 4) 25 + -5z = (-20 + 4z) Solving 25 + -5z = -20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 25 + -5z + -4z = -20 + 4z + -4z Combine like terms: -5z + -4z = -9z 25 + -9z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 25 + -9z = -20 + 0 25 + -9z = -20 Add '-25' to each side of the equation. 25 + -25 + -9z = -20 + -25 Combine like terms: 25 + -25 = 0 0 + -9z = -20 + -25 -9z = -20 + -25 Combine like terms: -20 + -25 = -45 -9z = -45 Divide each side by '-9'. z = 5 Simplifying z = 5
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