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Simplifying 12z + (13z + -14) = -1(26z + -25) + -9 + 20z Reorder the terms: 12z + (-14 + 13z) = -1(26z + -25) + -9 + 20z Remove parenthesis around (-14 + 13z) 12z + -14 + 13z = -1(26z + -25) + -9 + 20z Reorder the terms: -14 + 12z + 13z = -1(26z + -25) + -9 + 20z Combine like terms: 12z + 13z = 25z -14 + 25z = -1(26z + -25) + -9 + 20z Reorder the terms: -14 + 25z = -1(-25 + 26z) + -9 + 20z -14 + 25z = (-25 * -1 + 26z * -1) + -9 + 20z -14 + 25z = (25 + -26z) + -9 + 20z Reorder the terms: -14 + 25z = 25 + -9 + -26z + 20z Combine like terms: 25 + -9 = 16 -14 + 25z = 16 + -26z + 20z Combine like terms: -26z + 20z = -6z -14 + 25z = 16 + -6z Solving -14 + 25z = 16 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -14 + 25z + 6z = 16 + -6z + 6z Combine like terms: 25z + 6z = 31z -14 + 31z = 16 + -6z + 6z Combine like terms: -6z + 6z = 0 -14 + 31z = 16 + 0 -14 + 31z = 16 Add '14' to each side of the equation. -14 + 14 + 31z = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 31z = 16 + 14 31z = 16 + 14 Combine like terms: 16 + 14 = 30 31z = 30 Divide each side by '31'. z = 0.9677419355 Simplifying z = 0.9677419355
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