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Simplifying 5z + 14 = 4z + 9 Reorder the terms: 14 + 5z = 4z + 9 Reorder the terms: 14 + 5z = 9 + 4z Solving 14 + 5z = 9 + 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 + 5z + -4z = 9 + 4z + -4z Combine like terms: 5z + -4z = 1z 14 + 1z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + 1z = 9 + 0 14 + 1z = 9 Add '-14' to each side of the equation. 14 + -14 + 1z = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 9 + -14 1z = 9 + -14 Combine like terms: 9 + -14 = -5 1z = -5 Divide each side by '1'. z = -5 Simplifying z = -5
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