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Simplifying 21z + 7 = 28z + -2 Reorder the terms: 7 + 21z = 28z + -2 Reorder the terms: 7 + 21z = -2 + 28z Solving 7 + 21z = -2 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 7 + 21z + -28z = -2 + 28z + -28z Combine like terms: 21z + -28z = -7z 7 + -7z = -2 + 28z + -28z Combine like terms: 28z + -28z = 0 7 + -7z = -2 + 0 7 + -7z = -2 Add '-7' to each side of the equation. 7 + -7 + -7z = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = -2 + -7 -7z = -2 + -7 Combine like terms: -2 + -7 = -9 -7z = -9 Divide each side by '-7'. z = 1.285714286 Simplifying z = 1.285714286
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