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Simplifying 8z * 22 = 3(3z + 11) + -2 Reorder the terms for easier multiplication: 8 * 22z = 3(3z + 11) + -2 Multiply 8 * 22 176z = 3(3z + 11) + -2 Reorder the terms: 176z = 3(11 + 3z) + -2 176z = (11 * 3 + 3z * 3) + -2 176z = (33 + 9z) + -2 Reorder the terms: 176z = 33 + -2 + 9z Combine like terms: 33 + -2 = 31 176z = 31 + 9z Solving 176z = 31 + 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. 176z + -9z = 31 + 9z + -9z Combine like terms: 176z + -9z = 167z 167z = 31 + 9z + -9z Combine like terms: 9z + -9z = 0 167z = 31 + 0 167z = 31 Divide each side by '167'. z = 0.1856287425 Simplifying z = 0.1856287425
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