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Simplifying 8z + -22 = 3(3x + 11) + -6z Reorder the terms: -22 + 8z = 3(3x + 11) + -6z Reorder the terms: -22 + 8z = 3(11 + 3x) + -6z -22 + 8z = (11 * 3 + 3x * 3) + -6z -22 + 8z = (33 + 9x) + -6z Solving -22 + 8z = 33 + 9x + -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. -22 + 8z + 6z = 33 + 9x + -6z + 6z Combine like terms: 8z + 6z = 14z -22 + 14z = 33 + 9x + -6z + 6z Combine like terms: -6z + 6z = 0 -22 + 14z = 33 + 9x + 0 -22 + 14z = 33 + 9x Add '22' to each side of the equation. -22 + 22 + 14z = 33 + 22 + 9x Combine like terms: -22 + 22 = 0 0 + 14z = 33 + 22 + 9x 14z = 33 + 22 + 9x Combine like terms: 33 + 22 = 55 14z = 55 + 9x Divide each side by '14'. z = 3.928571429 + 0.6428571429x Simplifying z = 3.928571429 + 0.6428571429x
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