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Simplifying 6z + 9 = 1 + -2z Reorder the terms: 9 + 6z = 1 + -2z Solving 9 + 6z = 1 + -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. 9 + 6z + 2z = 1 + -2z + 2z Combine like terms: 6z + 2z = 8z 9 + 8z = 1 + -2z + 2z Combine like terms: -2z + 2z = 0 9 + 8z = 1 + 0 9 + 8z = 1 Add '-9' to each side of the equation. 9 + -9 + 8z = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8z = 1 + -9 8z = 1 + -9 Combine like terms: 1 + -9 = -8 8z = -8 Divide each side by '8'. z = -1 Simplifying z = -1
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