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Simplifying 8z + -22 = 3(3 + 11) + -1z Reorder the terms: -22 + 8z = 3(3 + 11) + -1z Combine like terms: 3 + 11 = 14 -22 + 8z = 3(14) + -1z Multiply 3 * 14 -22 + 8z = 42 + -1z Solving -22 + 8z = 42 + -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 = 42 + -1z + z Combine like terms: 8z + z = 9z -22 + 9z = 42 + -1z + z Combine like terms: -1z + z = 0 -22 + 9z = 42 + 0 -22 + 9z = 42 Add '22' to each side of the equation. -22 + 22 + 9z = 42 + 22 Combine like terms: -22 + 22 = 0 0 + 9z = 42 + 22 9z = 42 + 22 Combine like terms: 42 + 22 = 64 9z = 64 Divide each side by '9'. z = 7.111111111 Simplifying z = 7.111111111
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