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Simplifying 2(w + -7) = -2w + 2 Reorder the terms: 2(-7 + w) = -2w + 2 (-7 * 2 + w * 2) = -2w + 2 (-14 + 2w) = -2w + 2 Reorder the terms: -14 + 2w = 2 + -2w Solving -14 + 2w = 2 + -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 = 2 + -2w + 2w Combine like terms: 2w + 2w = 4w -14 + 4w = 2 + -2w + 2w Combine like terms: -2w + 2w = 0 -14 + 4w = 2 + 0 -14 + 4w = 2 Add '14' to each side of the equation. -14 + 14 + 4w = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 4w = 2 + 14 4w = 2 + 14 Combine like terms: 2 + 14 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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