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Simplifying 8z + -22 = 3(z + 11) + -1z Reorder the terms: -22 + 8z = 3(z + 11) + -1z Reorder the terms: -22 + 8z = 3(11 + z) + -1z -22 + 8z = (11 * 3 + z * 3) + -1z -22 + 8z = (33 + 3z) + -1z Combine like terms: 3z + -1z = 2z -22 + 8z = 33 + 2z Solving -22 + 8z = 33 + 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 = 33 + 2z + -2z Combine like terms: 8z + -2z = 6z -22 + 6z = 33 + 2z + -2z Combine like terms: 2z + -2z = 0 -22 + 6z = 33 + 0 -22 + 6z = 33 Add '22' to each side of the equation. -22 + 22 + 6z = 33 + 22 Combine like terms: -22 + 22 = 0 0 + 6z = 33 + 22 6z = 33 + 22 Combine like terms: 33 + 22 = 55 6z = 55 Divide each side by '6'. z = 9.166666667 Simplifying z = 9.166666667
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