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Simplifying -5(z + 4) = 9 + -4z Reorder the terms: -5(4 + z) = 9 + -4z (4 * -5 + z * -5) = 9 + -4z (-20 + -5z) = 9 + -4z Solving -20 + -5z = 9 + -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 = 9 + -4z + 4z Combine like terms: -5z + 4z = -1z -20 + -1z = 9 + -4z + 4z Combine like terms: -4z + 4z = 0 -20 + -1z = 9 + 0 -20 + -1z = 9 Add '20' to each side of the equation. -20 + 20 + -1z = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -1z = 9 + 20 -1z = 9 + 20 Combine like terms: 9 + 20 = 29 -1z = 29 Divide each side by '-1'. z = -29 Simplifying z = -29
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