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Simplifying 14z + -7 = 21z + -14 Reorder the terms: -7 + 14z = 21z + -14 Reorder the terms: -7 + 14z = -14 + 21z Solving -7 + 14z = -14 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. -7 + 14z + -21z = -14 + 21z + -21z Combine like terms: 14z + -21z = -7z -7 + -7z = -14 + 21z + -21z Combine like terms: 21z + -21z = 0 -7 + -7z = -14 + 0 -7 + -7z = -14 Add '7' to each side of the equation. -7 + 7 + -7z = -14 + 7 Combine like terms: -7 + 7 = 0 0 + -7z = -14 + 7 -7z = -14 + 7 Combine like terms: -14 + 7 = -7 -7z = -7 Divide each side by '-7'. z = 1 Simplifying z = 1
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