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Simplifying -1[4z + -1(14z + 3)] = 3 + (9z + 0) Reorder the terms: -1[4z + -1(3 + 14z)] = 3 + (9z + 0) -1[4z + (3 * -1 + 14z * -1)] = 3 + (9z + 0) -1[4z + (-3 + -14z)] = 3 + (9z + 0) Reorder the terms: -1[-3 + 4z + -14z] = 3 + (9z + 0) Combine like terms: 4z + -14z = -10z -1[-3 + -10z] = 3 + (9z + 0) [-3 * -1 + -10z * -1] = 3 + (9z + 0) [3 + 10z] = 3 + (9z + 0) Reorder the terms: 3 + 10z = 3 + (0 + 9z) Remove the zero: 3 + 10z = 3 + (9z) 3 + 10z = 3 + (9z) Add '-3' to each side of the equation. 3 + -3 + 10z = 3 + -3 + (9z) Combine like terms: 3 + -3 = 0 0 + 10z = 3 + -3 + (9z) 10z = 3 + -3 + (9z) Combine like terms: 3 + -3 = 0 10z = 0 + (9z) 10z = (9z) Solving 10z = (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. 10z + (-9z) = (9z) + (-9z) Combine like terms: 10z + (-9z) = 1z 1z = (9z) + (-9z) Combine like terms: (9z) + (-9z) = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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