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Simplifying 14z + 16 = 21z + 7 Reorder the terms: 16 + 14z = 21z + 7 Reorder the terms: 16 + 14z = 7 + 21z Solving 16 + 14z = 7 + 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. 16 + 14z + -21z = 7 + 21z + -21z Combine like terms: 14z + -21z = -7z 16 + -7z = 7 + 21z + -21z Combine like terms: 21z + -21z = 0 16 + -7z = 7 + 0 16 + -7z = 7 Add '-16' to each side of the equation. 16 + -16 + -7z = 7 + -16 Combine like terms: 16 + -16 = 0 0 + -7z = 7 + -16 -7z = 7 + -16 Combine like terms: 7 + -16 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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