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Simplifying 5z + 22 = 8z + 16 Reorder the terms: 22 + 5z = 8z + 16 Reorder the terms: 22 + 5z = 16 + 8z Solving 22 + 5z = 16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 22 + 5z + -8z = 16 + 8z + -8z Combine like terms: 5z + -8z = -3z 22 + -3z = 16 + 8z + -8z Combine like terms: 8z + -8z = 0 22 + -3z = 16 + 0 22 + -3z = 16 Add '-22' to each side of the equation. 22 + -22 + -3z = 16 + -22 Combine like terms: 22 + -22 = 0 0 + -3z = 16 + -22 -3z = 16 + -22 Combine like terms: 16 + -22 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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