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Simplifying 9 + 40 + 5z + -12z + -42 = 40 Reorder the terms: 9 + 40 + -42 + 5z + -12z = 40 Combine like terms: 9 + 40 = 49 49 + -42 + 5z + -12z = 40 Combine like terms: 49 + -42 = 7 7 + 5z + -12z = 40 Combine like terms: 5z + -12z = -7z 7 + -7z = 40 Solving 7 + -7z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7z = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = 40 + -7 -7z = 40 + -7 Combine like terms: 40 + -7 = 33 -7z = 33 Divide each side by '-7'. z = -4.714285714 Simplifying z = -4.714285714
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