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Simplifying 7(z + -41) = 42 Reorder the terms: 7(-41 + z) = 42 (-41 * 7 + z * 7) = 42 (-287 + 7z) = 42 Solving -287 + 7z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '287' to each side of the equation. -287 + 287 + 7z = 42 + 287 Combine like terms: -287 + 287 = 0 0 + 7z = 42 + 287 7z = 42 + 287 Combine like terms: 42 + 287 = 329 7z = 329 Divide each side by '7'. z = 47 Simplifying z = 47
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