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Simplifying 6z + 30 = 14z + -34 Reorder the terms: 30 + 6z = 14z + -34 Reorder the terms: 30 + 6z = -34 + 14z Solving 30 + 6z = -34 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 30 + 6z + -14z = -34 + 14z + -14z Combine like terms: 6z + -14z = -8z 30 + -8z = -34 + 14z + -14z Combine like terms: 14z + -14z = 0 30 + -8z = -34 + 0 30 + -8z = -34 Add '-30' to each side of the equation. 30 + -30 + -8z = -34 + -30 Combine like terms: 30 + -30 = 0 0 + -8z = -34 + -30 -8z = -34 + -30 Combine like terms: -34 + -30 = -64 -8z = -64 Divide each side by '-8'. z = 8 Simplifying z = 8
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