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Simplifying 3 + 6z + -2 = 9z + 10 + -6z Reorder the terms: 3 + -2 + 6z = 9z + 10 + -6z Combine like terms: 3 + -2 = 1 1 + 6z = 9z + 10 + -6z Reorder the terms: 1 + 6z = 10 + 9z + -6z Combine like terms: 9z + -6z = 3z 1 + 6z = 10 + 3z Solving 1 + 6z = 10 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 6z + -3z = 10 + 3z + -3z Combine like terms: 6z + -3z = 3z 1 + 3z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 3z = 10 + 0 1 + 3z = 10 Add '-1' to each side of the equation. 1 + -1 + 3z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 10 + -1 3z = 10 + -1 Combine like terms: 10 + -1 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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