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Simplifying 6 + 5z + -2 = 5z + 22 + -3z Reorder the terms: 6 + -2 + 5z = 5z + 22 + -3z Combine like terms: 6 + -2 = 4 4 + 5z = 5z + 22 + -3z Reorder the terms: 4 + 5z = 22 + 5z + -3z Combine like terms: 5z + -3z = 2z 4 + 5z = 22 + 2z Solving 4 + 5z = 22 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 4 + 5z + -2z = 22 + 2z + -2z Combine like terms: 5z + -2z = 3z 4 + 3z = 22 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 3z = 22 + 0 4 + 3z = 22 Add '-4' to each side of the equation. 4 + -4 + 3z = 22 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 22 + -4 3z = 22 + -4 Combine like terms: 22 + -4 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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