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Simplifying 14 + 4z = -2z + 3 Reorder the terms: 14 + 4z = 3 + -2z Solving 14 + 4z = 3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 14 + 4z + 2z = 3 + -2z + 2z Combine like terms: 4z + 2z = 6z 14 + 6z = 3 + -2z + 2z Combine like terms: -2z + 2z = 0 14 + 6z = 3 + 0 14 + 6z = 3 Add '-14' to each side of the equation. 14 + -14 + 6z = 3 + -14 Combine like terms: 14 + -14 = 0 0 + 6z = 3 + -14 6z = 3 + -14 Combine like terms: 3 + -14 = -11 6z = -11 Divide each side by '6'. z = -1.833333333 Simplifying z = -1.833333333
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