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Simplifying -1[4z + -1(14z + 9)] = 9 + (9z + 10) Reorder the terms: -1[4z + -1(9 + 14z)] = 9 + (9z + 10) -1[4z + (9 * -1 + 14z * -1)] = 9 + (9z + 10) -1[4z + (-9 + -14z)] = 9 + (9z + 10) Reorder the terms: -1[-9 + 4z + -14z] = 9 + (9z + 10) Combine like terms: 4z + -14z = -10z -1[-9 + -10z] = 9 + (9z + 10) [-9 * -1 + -10z * -1] = 9 + (9z + 10) [9 + 10z] = 9 + (9z + 10) Reorder the terms: 9 + 10z = 9 + (10 + 9z) Remove parenthesis around (10 + 9z) 9 + 10z = 9 + 10 + 9z Combine like terms: 9 + 10 = 19 9 + 10z = 19 + 9z Solving 9 + 10z = 19 + 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. 9 + 10z + -9z = 19 + 9z + -9z Combine like terms: 10z + -9z = 1z 9 + 1z = 19 + 9z + -9z Combine like terms: 9z + -9z = 0 9 + 1z = 19 + 0 9 + 1z = 19 Add '-9' to each side of the equation. 9 + -9 + 1z = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 19 + -9 1z = 19 + -9 Combine like terms: 19 + -9 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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