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Simplifying 14 + 3z = 5z + 6 Reorder the terms: 14 + 3z = 6 + 5z Solving 14 + 3z = 6 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 14 + 3z + -5z = 6 + 5z + -5z Combine like terms: 3z + -5z = -2z 14 + -2z = 6 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + -2z = 6 + 0 14 + -2z = 6 Add '-14' to each side of the equation. 14 + -14 + -2z = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = 6 + -14 -2z = 6 + -14 Combine like terms: 6 + -14 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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