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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 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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