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Simplifying 14z + (6) = 2z + 18 14z + 6 = 2z + 18 Reorder the terms: 6 + 14z = 2z + 18 Reorder the terms: 6 + 14z = 18 + 2z Solving 6 + 14z = 18 + 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. 6 + 14z + -2z = 18 + 2z + -2z Combine like terms: 14z + -2z = 12z 6 + 12z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 12z = 18 + 0 6 + 12z = 18 Add '-6' to each side of the equation. 6 + -6 + 12z = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 12z = 18 + -6 12z = 18 + -6 Combine like terms: 18 + -6 = 12 12z = 12 Divide each side by '12'. z = 1 Simplifying z = 1
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