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Simplifying 82 + -22 = 3(32 + 11) + -1z Combine like terms: 82 + -22 = 60 60 = 3(32 + 11) + -1z Combine like terms: 32 + 11 = 43 60 = 3(43) + -1z Multiply 3 * 43 60 = 129 + -1z Solving 60 = 129 + -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. 60 + z = 129 + -1z + z Combine like terms: -1z + z = 0 60 + z = 129 + 0 60 + z = 129 Add '-60' to each side of the equation. 60 + -60 + z = 129 + -60 Combine like terms: 60 + -60 = 0 0 + z = 129 + -60 z = 129 + -60 Combine like terms: 129 + -60 = 69 z = 69 Simplifying z = 69
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