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Simplifying 20z + 15(8 + z) = 50 + -1z 20z + (8 * 15 + z * 15) = 50 + -1z 20z + (120 + 15z) = 50 + -1z Reorder the terms: 120 + 20z + 15z = 50 + -1z Combine like terms: 20z + 15z = 35z 120 + 35z = 50 + -1z Solving 120 + 35z = 50 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 120 + 35z + z = 50 + -1z + z Combine like terms: 35z + z = 36z 120 + 36z = 50 + -1z + z Combine like terms: -1z + z = 0 120 + 36z = 50 + 0 120 + 36z = 50 Add '-120' to each side of the equation. 120 + -120 + 36z = 50 + -120 Combine like terms: 120 + -120 = 0 0 + 36z = 50 + -120 36z = 50 + -120 Combine like terms: 50 + -120 = -70 36z = -70 Divide each side by '36'. z = -1.944444444 Simplifying z = -1.944444444
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