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Simplifying 8z + -22 = 3(3z + 11) + -6x Reorder the terms: -22 + 8z = 3(3z + 11) + -6x Reorder the terms: -22 + 8z = 3(11 + 3z) + -6x -22 + 8z = (11 * 3 + 3z * 3) + -6x -22 + 8z = (33 + 9z) + -6x Reorder the terms: -22 + 8z = 33 + -6x + 9z Solving -22 + 8z = 33 + -6x + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -22 + 8z + -9z = 33 + -6x + 9z + -9z Combine like terms: 8z + -9z = -1z -22 + -1z = 33 + -6x + 9z + -9z Combine like terms: 9z + -9z = 0 -22 + -1z = 33 + -6x + 0 -22 + -1z = 33 + -6x Add '22' to each side of the equation. -22 + 22 + -1z = 33 + 22 + -6x Combine like terms: -22 + 22 = 0 0 + -1z = 33 + 22 + -6x -1z = 33 + 22 + -6x Combine like terms: 33 + 22 = 55 -1z = 55 + -6x Divide each side by '-1'. z = -55 + 6x Simplifying z = -55 + 6x
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