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Simplifying 5(z + -1) = (4z + 4) Reorder the terms: 5(-1 + z) = (4z + 4) (-1 * 5 + z * 5) = (4z + 4) (-5 + 5z) = (4z + 4) Reorder the terms: -5 + 5z = (4 + 4z) Remove parenthesis around (4 + 4z) -5 + 5z = 4 + 4z Solving -5 + 5z = 4 + 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 = 4 + 4z + -4z Combine like terms: 5z + -4z = 1z -5 + 1z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 1z = 4 + 0 -5 + 1z = 4 Add '5' to each side of the equation. -5 + 5 + 1z = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 4 + 5 1z = 4 + 5 Combine like terms: 4 + 5 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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