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Simplifying 8z + -22 = (3z + 11) + -1z Reorder the terms: -22 + 8z = (3z + 11) + -1z Reorder the terms: -22 + 8z = (11 + 3z) + -1z Remove parenthesis around (11 + 3z) -22 + 8z = 11 + 3z + -1z Combine like terms: 3z + -1z = 2z -22 + 8z = 11 + 2z Solving -22 + 8z = 11 + 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. -22 + 8z + -2z = 11 + 2z + -2z Combine like terms: 8z + -2z = 6z -22 + 6z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 -22 + 6z = 11 + 0 -22 + 6z = 11 Add '22' to each side of the equation. -22 + 22 + 6z = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 6z = 11 + 22 6z = 11 + 22 Combine like terms: 11 + 22 = 33 6z = 33 Divide each side by '6'. z = 5.5 Simplifying z = 5.5
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