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Simplifying 3z + 6 = 22 + -1z Reorder the terms: 6 + 3z = 22 + -1z Solving 6 + 3z = 22 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 6 + 3z + z = 22 + -1z + z Combine like terms: 3z + z = 4z 6 + 4z = 22 + -1z + z Combine like terms: -1z + z = 0 6 + 4z = 22 + 0 6 + 4z = 22 Add '-6' to each side of the equation. 6 + -6 + 4z = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 22 + -6 4z = 22 + -6 Combine like terms: 22 + -6 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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