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Simplifying 27z + -6 = 14z + 7 Reorder the terms: -6 + 27z = 14z + 7 Reorder the terms: -6 + 27z = 7 + 14z Solving -6 + 27z = 7 + 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. -6 + 27z + -14z = 7 + 14z + -14z Combine like terms: 27z + -14z = 13z -6 + 13z = 7 + 14z + -14z Combine like terms: 14z + -14z = 0 -6 + 13z = 7 + 0 -6 + 13z = 7 Add '6' to each side of the equation. -6 + 6 + 13z = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13z = 7 + 6 13z = 7 + 6 Combine like terms: 7 + 6 = 13 13z = 13 Divide each side by '13'. z = 1 Simplifying z = 1
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