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Simplifying -4(5 + -3z) = 9z + 4 (5 * -4 + -3z * -4) = 9z + 4 (-20 + 12z) = 9z + 4 Reorder the terms: -20 + 12z = 4 + 9z Solving -20 + 12z = 4 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -20 + 12z + -9z = 4 + 9z + -9z Combine like terms: 12z + -9z = 3z -20 + 3z = 4 + 9z + -9z Combine like terms: 9z + -9z = 0 -20 + 3z = 4 + 0 -20 + 3z = 4 Add '20' to each side of the equation. -20 + 20 + 3z = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3z = 4 + 20 3z = 4 + 20 Combine like terms: 4 + 20 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8
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