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Simplifying 10z + 22 = 16z + -2 Reorder the terms: 22 + 10z = 16z + -2 Reorder the terms: 22 + 10z = -2 + 16z Solving 22 + 10z = -2 + 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. 22 + 10z + -16z = -2 + 16z + -16z Combine like terms: 10z + -16z = -6z 22 + -6z = -2 + 16z + -16z Combine like terms: 16z + -16z = 0 22 + -6z = -2 + 0 22 + -6z = -2 Add '-22' to each side of the equation. 22 + -22 + -6z = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -6z = -2 + -22 -6z = -2 + -22 Combine like terms: -2 + -22 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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