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Simplifying 6z + 1 = 9 + -2z Reorder the terms: 1 + 6z = 9 + -2z Solving 1 + 6z = 9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 1 + 6z + 2z = 9 + -2z + 2z Combine like terms: 6z + 2z = 8z 1 + 8z = 9 + -2z + 2z Combine like terms: -2z + 2z = 0 1 + 8z = 9 + 0 1 + 8z = 9 Add '-1' to each side of the equation. 1 + -1 + 8z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8z = 9 + -1 8z = 9 + -1 Combine like terms: 9 + -1 = 8 8z = 8 Divide each side by '8'. z = 1 Simplifying z = 1
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