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Simplifying 3 + 14z + -2 = 9z + 12 + -6z Reorder the terms: 3 + -2 + 14z = 9z + 12 + -6z Combine like terms: 3 + -2 = 1 1 + 14z = 9z + 12 + -6z Reorder the terms: 1 + 14z = 12 + 9z + -6z Combine like terms: 9z + -6z = 3z 1 + 14z = 12 + 3z Solving 1 + 14z = 12 + 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 + 14z + -3z = 12 + 3z + -3z Combine like terms: 14z + -3z = 11z 1 + 11z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 11z = 12 + 0 1 + 11z = 12 Add '-1' to each side of the equation. 1 + -1 + 11z = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11z = 12 + -1 11z = 12 + -1 Combine like terms: 12 + -1 = 11 11z = 11 Divide each side by '11'. z = 1 Simplifying z = 1
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