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Simplifying 6z + 5 = 7 + -6z Reorder the terms: 5 + 6z = 7 + -6z Solving 5 + 6z = 7 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 5 + 6z + 6z = 7 + -6z + 6z Combine like terms: 6z + 6z = 12z 5 + 12z = 7 + -6z + 6z Combine like terms: -6z + 6z = 0 5 + 12z = 7 + 0 5 + 12z = 7 Add '-5' to each side of the equation. 5 + -5 + 12z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 12z = 7 + -5 12z = 7 + -5 Combine like terms: 7 + -5 = 2 12z = 2 Divide each side by '12'. z = 0.1666666667 Simplifying z = 0.1666666667
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