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Simplifying 6z + 1 = 9 + -10z Reorder the terms: 1 + 6z = 9 + -10z Solving 1 + 6z = 9 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 1 + 6z + 10z = 9 + -10z + 10z Combine like terms: 6z + 10z = 16z 1 + 16z = 9 + -10z + 10z Combine like terms: -10z + 10z = 0 1 + 16z = 9 + 0 1 + 16z = 9 Add '-1' to each side of the equation. 1 + -1 + 16z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 16z = 9 + -1 16z = 9 + -1 Combine like terms: 9 + -1 = 8 16z = 8 Divide each side by '16'. z = 0.5 Simplifying z = 0.5
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