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Simplifying -1z + 6 + 4 = -2 + 1 + 9z Reorder the terms: 6 + 4 + -1z = -2 + 1 + 9z Combine like terms: 6 + 4 = 10 10 + -1z = -2 + 1 + 9z Combine like terms: -2 + 1 = -1 10 + -1z = -1 + 9z Solving 10 + -1z = -1 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 10 + -1z + -9z = -1 + 9z + -9z Combine like terms: -1z + -9z = -10z 10 + -10z = -1 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -10z = -1 + 0 10 + -10z = -1 Add '-10' to each side of the equation. 10 + -10 + -10z = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -10z = -1 + -10 -10z = -1 + -10 Combine like terms: -1 + -10 = -11 -10z = -11 Divide each side by '-10'. z = 1.1 Simplifying z = 1.1
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