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Simplifying 6z + 14 = 4 + 4z Reorder the terms: 14 + 6z = 4 + 4z Solving 14 + 6z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 14 + 6z + -4z = 4 + 4z + -4z Combine like terms: 6z + -4z = 2z 14 + 2z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + 2z = 4 + 0 14 + 2z = 4 Add '-14' to each side of the equation. 14 + -14 + 2z = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = 4 + -14 2z = 4 + -14 Combine like terms: 4 + -14 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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