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