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Simplifying 5z + 14 = 3z + -20 Reorder the terms: 14 + 5z = 3z + -20 Reorder the terms: 14 + 5z = -20 + 3z Solving 14 + 5z = -20 + 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 = -20 + 3z + -3z Combine like terms: 5z + -3z = 2z 14 + 2z = -20 + 3z + -3z Combine like terms: 3z + -3z = 0 14 + 2z = -20 + 0 14 + 2z = -20 Add '-14' to each side of the equation. 14 + -14 + 2z = -20 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = -20 + -14 2z = -20 + -14 Combine like terms: -20 + -14 = -34 2z = -34 Divide each side by '2'. z = -17 Simplifying z = -17
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