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Simplifying 2(w + 7) = -2w + 42 Reorder the terms: 2(7 + w) = -2w + 42 (7 * 2 + w * 2) = -2w + 42 (14 + 2w) = -2w + 42 Reorder the terms: 14 + 2w = 42 + -2w Solving 14 + 2w = 42 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 14 + 2w + 2w = 42 + -2w + 2w Combine like terms: 2w + 2w = 4w 14 + 4w = 42 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 4w = 42 + 0 14 + 4w = 42 Add '-14' to each side of the equation. 14 + -14 + 4w = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = 42 + -14 4w = 42 + -14 Combine like terms: 42 + -14 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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