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Simplifying 7(w + 2) = 4w + -7 Reorder the terms: 7(2 + w) = 4w + -7 (2 * 7 + w * 7) = 4w + -7 (14 + 7w) = 4w + -7 Reorder the terms: 14 + 7w = -7 + 4w Solving 14 + 7w = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 14 + 7w + -4w = -7 + 4w + -4w Combine like terms: 7w + -4w = 3w 14 + 3w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 14 + 3w = -7 + 0 14 + 3w = -7 Add '-14' to each side of the equation. 14 + -14 + 3w = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = -7 + -14 3w = -7 + -14 Combine like terms: -7 + -14 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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