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