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Simplifying 8z + -22 = 3(3x + 11) + -1z Reorder the terms: -22 + 8z = 3(3x + 11) + -1z Reorder the terms: -22 + 8z = 3(11 + 3x) + -1z -22 + 8z = (11 * 3 + 3x * 3) + -1z -22 + 8z = (33 + 9x) + -1z Solving -22 + 8z = 33 + 9x + -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. -22 + 8z + z = 33 + 9x + -1z + z Combine like terms: 8z + z = 9z -22 + 9z = 33 + 9x + -1z + z Combine like terms: -1z + z = 0 -22 + 9z = 33 + 9x + 0 -22 + 9z = 33 + 9x Add '22' to each side of the equation. -22 + 22 + 9z = 33 + 22 + 9x Combine like terms: -22 + 22 = 0 0 + 9z = 33 + 22 + 9x 9z = 33 + 22 + 9x Combine like terms: 33 + 22 = 55 9z = 55 + 9x Divide each side by '9'. z = 6.111111111 + x Simplifying z = 6.111111111 + x
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