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Simplifying -1(9z + 25) + 18z = -1(26z + 27) + 24 + 26 Reorder the terms: -1(25 + 9z) + 18z = -1(26z + 27) + 24 + 26 (25 * -1 + 9z * -1) + 18z = -1(26z + 27) + 24 + 26 (-25 + -9z) + 18z = -1(26z + 27) + 24 + 26 Combine like terms: -9z + 18z = 9z -25 + 9z = -1(26z + 27) + 24 + 26 Reorder the terms: -25 + 9z = -1(27 + 26z) + 24 + 26 -25 + 9z = (27 * -1 + 26z * -1) + 24 + 26 -25 + 9z = (-27 + -26z) + 24 + 26 Reorder the terms: -25 + 9z = -27 + 24 + 26 + -26z Combine like terms: -27 + 24 = -3 -25 + 9z = -3 + 26 + -26z Combine like terms: -3 + 26 = 23 -25 + 9z = 23 + -26z Solving -25 + 9z = 23 + -26z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26z' to each side of the equation. -25 + 9z + 26z = 23 + -26z + 26z Combine like terms: 9z + 26z = 35z -25 + 35z = 23 + -26z + 26z Combine like terms: -26z + 26z = 0 -25 + 35z = 23 + 0 -25 + 35z = 23 Add '25' to each side of the equation. -25 + 25 + 35z = 23 + 25 Combine like terms: -25 + 25 = 0 0 + 35z = 23 + 25 35z = 23 + 25 Combine like terms: 23 + 25 = 48 35z = 48 Divide each side by '35'. z = 1.371428571 Simplifying z = 1.371428571
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