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Simplifying 2(42 + -1) = (z + 2) Combine like terms: 42 + -1 = 41 2(41) = (z + 2) Multiply 2 * 41 82 = (z + 2) Reorder the terms: 82 = (2 + z) Remove parenthesis around (2 + z) 82 = 2 + z Solving 82 = 2 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 82 + -1z = 2 + z + -1z Combine like terms: z + -1z = 0 82 + -1z = 2 + 0 82 + -1z = 2 Add '-82' to each side of the equation. 82 + -82 + -1z = 2 + -82 Combine like terms: 82 + -82 = 0 0 + -1z = 2 + -82 -1z = 2 + -82 Combine like terms: 2 + -82 = -80 -1z = -80 Divide each side by '-1'. z = 80 Simplifying z = 80
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