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Simplifying 7z + 13 = 16z + 8 Reorder the terms: 13 + 7z = 16z + 8 Reorder the terms: 13 + 7z = 8 + 16z Solving 13 + 7z = 8 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 13 + 7z + -16z = 8 + 16z + -16z Combine like terms: 7z + -16z = -9z 13 + -9z = 8 + 16z + -16z Combine like terms: 16z + -16z = 0 13 + -9z = 8 + 0 13 + -9z = 8 Add '-13' to each side of the equation. 13 + -13 + -9z = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -9z = 8 + -13 -9z = 8 + -13 Combine like terms: 8 + -13 = -5 -9z = -5 Divide each side by '-9'. z = 0.5555555556 Simplifying z = 0.5555555556
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