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Simplifying 7z + -14 = 34 + -1z Reorder the terms: -14 + 7z = 34 + -1z Solving -14 + 7z = 34 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -14 + 7z + z = 34 + -1z + z Combine like terms: 7z + z = 8z -14 + 8z = 34 + -1z + z Combine like terms: -1z + z = 0 -14 + 8z = 34 + 0 -14 + 8z = 34 Add '14' to each side of the equation. -14 + 14 + 8z = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 8z = 34 + 14 8z = 34 + 14 Combine like terms: 34 + 14 = 48 8z = 48 Divide each side by '8'. z = 6 Simplifying z = 6
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