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Simplifying 8z + -22 = (3z + 11) + -6z Reorder the terms: -22 + 8z = (3z + 11) + -6z Reorder the terms: -22 + 8z = (11 + 3z) + -6z Remove parenthesis around (11 + 3z) -22 + 8z = 11 + 3z + -6z Combine like terms: 3z + -6z = -3z -22 + 8z = 11 + -3z Solving -22 + 8z = 11 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -22 + 8z + 3z = 11 + -3z + 3z Combine like terms: 8z + 3z = 11z -22 + 11z = 11 + -3z + 3z Combine like terms: -3z + 3z = 0 -22 + 11z = 11 + 0 -22 + 11z = 11 Add '22' to each side of the equation. -22 + 22 + 11z = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 11z = 11 + 22 11z = 11 + 22 Combine like terms: 11 + 22 = 33 11z = 33 Divide each side by '11'. z = 3 Simplifying z = 3
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