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Simplifying 82 = 42 + 4z Solving 82 = 42 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 82 + -4z = 42 + 4z + -4z Combine like terms: 4z + -4z = 0 82 + -4z = 42 + 0 82 + -4z = 42 Add '-82' to each side of the equation. 82 + -82 + -4z = 42 + -82 Combine like terms: 82 + -82 = 0 0 + -4z = 42 + -82 -4z = 42 + -82 Combine like terms: 42 + -82 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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