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Simplifying 9z + 40 + 5z + -12z + 42 = 40 Reorder the terms: 40 + 42 + 9z + 5z + -12z = 40 Combine like terms: 40 + 42 = 82 82 + 9z + 5z + -12z = 40 Combine like terms: 9z + 5z = 14z 82 + 14z + -12z = 40 Combine like terms: 14z + -12z = 2z 82 + 2z = 40 Solving 82 + 2z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 2z = 40 + -82 Combine like terms: 82 + -82 = 0 0 + 2z = 40 + -82 2z = 40 + -82 Combine like terms: 40 + -82 = -42 2z = -42 Divide each side by '2'. z = -21 Simplifying z = -21
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