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Simplifying 5z + -14 = 3z + 8 Reorder the terms: -14 + 5z = 3z + 8 Reorder the terms: -14 + 5z = 8 + 3z Solving -14 + 5z = 8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -14 + 5z + -3z = 8 + 3z + -3z Combine like terms: 5z + -3z = 2z -14 + 2z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 -14 + 2z = 8 + 0 -14 + 2z = 8 Add '14' to each side of the equation. -14 + 14 + 2z = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 2z = 8 + 14 2z = 8 + 14 Combine like terms: 8 + 14 = 22 2z = 22 Divide each side by '2'. z = 11 Simplifying z = 11
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