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Simplifying 4z + 14 + 2z = 12 + -3z + -8 Reorder the terms: 14 + 4z + 2z = 12 + -3z + -8 Combine like terms: 4z + 2z = 6z 14 + 6z = 12 + -3z + -8 Reorder the terms: 14 + 6z = 12 + -8 + -3z Combine like terms: 12 + -8 = 4 14 + 6z = 4 + -3z Solving 14 + 6z = 4 + -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 + 6z + 3z = 4 + -3z + 3z Combine like terms: 6z + 3z = 9z 14 + 9z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 14 + 9z = 4 + 0 14 + 9z = 4 Add '-14' to each side of the equation. 14 + -14 + 9z = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 9z = 4 + -14 9z = 4 + -14 Combine like terms: 4 + -14 = -10 9z = -10 Divide each side by '9'. z = -1.111111111 Simplifying z = -1.111111111
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