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Simplifying -1[5z + -1(10z + 9)] = 9 + (4z + 2) Reorder the terms: -1[5z + -1(9 + 10z)] = 9 + (4z + 2) -1[5z + (9 * -1 + 10z * -1)] = 9 + (4z + 2) -1[5z + (-9 + -10z)] = 9 + (4z + 2) Reorder the terms: -1[-9 + 5z + -10z] = 9 + (4z + 2) Combine like terms: 5z + -10z = -5z -1[-9 + -5z] = 9 + (4z + 2) [-9 * -1 + -5z * -1] = 9 + (4z + 2) [9 + 5z] = 9 + (4z + 2) Reorder the terms: 9 + 5z = 9 + (2 + 4z) Remove parenthesis around (2 + 4z) 9 + 5z = 9 + 2 + 4z Combine like terms: 9 + 2 = 11 9 + 5z = 11 + 4z Solving 9 + 5z = 11 + 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 = 11 + 4z + -4z Combine like terms: 5z + -4z = 1z 9 + 1z = 11 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + 1z = 11 + 0 9 + 1z = 11 Add '-9' to each side of the equation. 9 + -9 + 1z = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 11 + -9 1z = 11 + -9 Combine like terms: 11 + -9 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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