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Simplifying -9z + (-27) + -10z + 50 = 1z -9z + -27 + -10z + 50 = 1z Reorder the terms: -27 + 50 + -9z + -10z = 1z Combine like terms: -27 + 50 = 23 23 + -9z + -10z = 1z Combine like terms: -9z + -10z = -19z 23 + -19z = 1z Solving 23 + -19z = 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 23 + -19z + -1z = 1z + -1z Combine like terms: -19z + -1z = -20z 23 + -20z = 1z + -1z Combine like terms: 1z + -1z = 0 23 + -20z = 0 Add '-23' to each side of the equation. 23 + -23 + -20z = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -20z = 0 + -23 -20z = 0 + -23 Combine like terms: 0 + -23 = -23 -20z = -23 Divide each side by '-20'. z = 1.15 Simplifying z = 1.15
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