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Simplifying 4z + -4 + 3z = 22 + -6z Reorder the terms: -4 + 4z + 3z = 22 + -6z Combine like terms: 4z + 3z = 7z -4 + 7z = 22 + -6z Solving -4 + 7z = 22 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -4 + 7z + 6z = 22 + -6z + 6z Combine like terms: 7z + 6z = 13z -4 + 13z = 22 + -6z + 6z Combine like terms: -6z + 6z = 0 -4 + 13z = 22 + 0 -4 + 13z = 22 Add '4' to each side of the equation. -4 + 4 + 13z = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 13z = 22 + 4 13z = 22 + 4 Combine like terms: 22 + 4 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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