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Simplifying 3z + -14 = 8 + -1z Reorder the terms: -14 + 3z = 8 + -1z Solving -14 + 3z = 8 + -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 + 3z + z = 8 + -1z + z Combine like terms: 3z + z = 4z -14 + 4z = 8 + -1z + z Combine like terms: -1z + z = 0 -14 + 4z = 8 + 0 -14 + 4z = 8 Add '14' to each side of the equation. -14 + 14 + 4z = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 4z = 8 + 14 4z = 8 + 14 Combine like terms: 8 + 14 = 22 4z = 22 Divide each side by '4'. z = 5.5 Simplifying z = 5.5
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