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Simplifying -5(z + -4) = 5 + -4z Reorder the terms: -5(-4 + z) = 5 + -4z (-4 * -5 + z * -5) = 5 + -4z (20 + -5z) = 5 + -4z Solving 20 + -5z = 5 + -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 + -5z + 4z = 5 + -4z + 4z Combine like terms: -5z + 4z = -1z 20 + -1z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 20 + -1z = 5 + 0 20 + -1z = 5 Add '-20' to each side of the equation. 20 + -20 + -1z = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 5 + -20 -1z = 5 + -20 Combine like terms: 5 + -20 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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