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Simplifying 14z + -1(3z + -2) = [5z + 2 + -1(z + -1)] Reorder the terms: 14z + -1(-2 + 3z) = [5z + 2 + -1(z + -1)] 14z + (-2 * -1 + 3z * -1) = [5z + 2 + -1(z + -1)] 14z + (2 + -3z) = [5z + 2 + -1(z + -1)] Reorder the terms: 2 + 14z + -3z = [5z + 2 + -1(z + -1)] Combine like terms: 14z + -3z = 11z 2 + 11z = [5z + 2 + -1(z + -1)] Reorder the terms: 2 + 11z = [5z + 2 + -1(-1 + z)] 2 + 11z = [5z + 2 + (-1 * -1 + z * -1)] 2 + 11z = [5z + 2 + (1 + -1z)] Reorder the terms: 2 + 11z = [2 + 1 + 5z + -1z] Combine like terms: 2 + 1 = 3 2 + 11z = [3 + 5z + -1z] Combine like terms: 5z + -1z = 4z 2 + 11z = [3 + 4z] Remove brackets around [3 + 4z] 2 + 11z = 3 + 4z Solving 2 + 11z = 3 + 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. 2 + 11z + -4z = 3 + 4z + -4z Combine like terms: 11z + -4z = 7z 2 + 7z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 7z = 3 + 0 2 + 7z = 3 Add '-2' to each side of the equation. 2 + -2 + 7z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = 3 + -2 7z = 3 + -2 Combine like terms: 3 + -2 = 1 7z = 1 Divide each side by '7'. z = 0.1428571429 Simplifying z = 0.1428571429
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