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Simplifying 4(z + -5) = -4z Reorder the terms: 4(-5 + z) = -4z (-5 * 4 + z * 4) = -4z (-20 + 4z) = -4z Solving -20 + 4z = -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. -20 + 4z + 4z = -4z + 4z Combine like terms: 4z + 4z = 8z -20 + 8z = -4z + 4z Combine like terms: -4z + 4z = 0 -20 + 8z = 0 Add '20' to each side of the equation. -20 + 20 + 8z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 8z = 0 + 20 8z = 0 + 20 Combine like terms: 0 + 20 = 20 8z = 20 Divide each side by '8'. z = 2.5 Simplifying z = 2.5
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