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Simplifying 5(z + -1) = 4(z + 4) Reorder the terms: 5(-1 + z) = 4(z + 4) (-1 * 5 + z * 5) = 4(z + 4) (-5 + 5z) = 4(z + 4) Reorder the terms: -5 + 5z = 4(4 + z) -5 + 5z = (4 * 4 + z * 4) -5 + 5z = (16 + 4z) Solving -5 + 5z = 16 + 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 = 16 + 4z + -4z Combine like terms: 5z + -4z = 1z -5 + 1z = 16 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 1z = 16 + 0 -5 + 1z = 16 Add '5' to each side of the equation. -5 + 5 + 1z = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 16 + 5 1z = 16 + 5 Combine like terms: 16 + 5 = 21 1z = 21 Divide each side by '1'. z = 21 Simplifying z = 21
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