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Simplifying 2z + 4 + -3z = 14 + -3z Reorder the terms: 4 + 2z + -3z = 14 + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = 14 + -3z Solving 4 + -1z = 14 + -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. 4 + -1z + 3z = 14 + -3z + 3z Combine like terms: -1z + 3z = 2z 4 + 2z = 14 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + 2z = 14 + 0 4 + 2z = 14 Add '-4' to each side of the equation. 4 + -4 + 2z = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2z = 14 + -4 2z = 14 + -4 Combine like terms: 14 + -4 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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