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Simplifying 3z + -14 = -34 + 8z Reorder the terms: -14 + 3z = -34 + 8z Solving -14 + 3z = -34 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -14 + 3z + -8z = -34 + 8z + -8z Combine like terms: 3z + -8z = -5z -14 + -5z = -34 + 8z + -8z Combine like terms: 8z + -8z = 0 -14 + -5z = -34 + 0 -14 + -5z = -34 Add '14' to each side of the equation. -14 + 14 + -5z = -34 + 14 Combine like terms: -14 + 14 = 0 0 + -5z = -34 + 14 -5z = -34 + 14 Combine like terms: -34 + 14 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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