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Simplifying -1[4z + -1(14z + 10)] = 10 + (9z + 1) Reorder the terms: -1[4z + -1(10 + 14z)] = 10 + (9z + 1) -1[4z + (10 * -1 + 14z * -1)] = 10 + (9z + 1) -1[4z + (-10 + -14z)] = 10 + (9z + 1) Reorder the terms: -1[-10 + 4z + -14z] = 10 + (9z + 1) Combine like terms: 4z + -14z = -10z -1[-10 + -10z] = 10 + (9z + 1) [-10 * -1 + -10z * -1] = 10 + (9z + 1) [10 + 10z] = 10 + (9z + 1) Reorder the terms: 10 + 10z = 10 + (1 + 9z) Remove parenthesis around (1 + 9z) 10 + 10z = 10 + 1 + 9z Combine like terms: 10 + 1 = 11 10 + 10z = 11 + 9z Solving 10 + 10z = 11 + 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. 10 + 10z + -9z = 11 + 9z + -9z Combine like terms: 10z + -9z = 1z 10 + 1z = 11 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + 1z = 11 + 0 10 + 1z = 11 Add '-10' to each side of the equation. 10 + -10 + 1z = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 11 + -10 1z = 11 + -10 Combine like terms: 11 + -10 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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