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Simplifying -1[4z + -1(9z + 9)] = 9 + 4z + 4 Reorder the terms: -1[4z + -1(9 + 9z)] = 9 + 4z + 4 -1[4z + (9 * -1 + 9z * -1)] = 9 + 4z + 4 -1[4z + (-9 + -9z)] = 9 + 4z + 4 Reorder the terms: -1[-9 + 4z + -9z] = 9 + 4z + 4 Combine like terms: 4z + -9z = -5z -1[-9 + -5z] = 9 + 4z + 4 [-9 * -1 + -5z * -1] = 9 + 4z + 4 [9 + 5z] = 9 + 4z + 4 Reorder the terms: 9 + 5z = 9 + 4 + 4z Combine like terms: 9 + 4 = 13 9 + 5z = 13 + 4z Solving 9 + 5z = 13 + 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. 9 + 5z + -4z = 13 + 4z + -4z Combine like terms: 5z + -4z = 1z 9 + 1z = 13 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + 1z = 13 + 0 9 + 1z = 13 Add '-9' to each side of the equation. 9 + -9 + 1z = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 13 + -9 1z = 13 + -9 Combine like terms: 13 + -9 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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