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Simplifying 8z + -22 = 3(32 + 11) + -6z Reorder the terms: -22 + 8z = 3(32 + 11) + -6z Combine like terms: 32 + 11 = 43 -22 + 8z = 3(43) + -6z Multiply 3 * 43 -22 + 8z = 129 + -6z Solving -22 + 8z = 129 + -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 = 129 + -6z + 6z Combine like terms: 8z + 6z = 14z -22 + 14z = 129 + -6z + 6z Combine like terms: -6z + 6z = 0 -22 + 14z = 129 + 0 -22 + 14z = 129 Add '22' to each side of the equation. -22 + 22 + 14z = 129 + 22 Combine like terms: -22 + 22 = 0 0 + 14z = 129 + 22 14z = 129 + 22 Combine like terms: 129 + 22 = 151 14z = 151 Divide each side by '14'. z = 10.78571429 Simplifying z = 10.78571429
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