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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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