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Simplifying 6 + 14z + -3 = 8z + 27 + -6z Reorder the terms: 6 + -3 + 14z = 8z + 27 + -6z Combine like terms: 6 + -3 = 3 3 + 14z = 8z + 27 + -6z Reorder the terms: 3 + 14z = 27 + 8z + -6z Combine like terms: 8z + -6z = 2z 3 + 14z = 27 + 2z Solving 3 + 14z = 27 + 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. 3 + 14z + -2z = 27 + 2z + -2z Combine like terms: 14z + -2z = 12z 3 + 12z = 27 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 12z = 27 + 0 3 + 12z = 27 Add '-3' to each side of the equation. 3 + -3 + 12z = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = 27 + -3 12z = 27 + -3 Combine like terms: 27 + -3 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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