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Simplifying 7(w + 2) = -3(4w + -4) + w Reorder the terms: 7(2 + w) = -3(4w + -4) + w (2 * 7 + w * 7) = -3(4w + -4) + w (14 + 7w) = -3(4w + -4) + w Reorder the terms: 14 + 7w = -3(-4 + 4w) + w 14 + 7w = (-4 * -3 + 4w * -3) + w 14 + 7w = (12 + -12w) + w Combine like terms: -12w + w = -11w 14 + 7w = 12 + -11w Solving 14 + 7w = 12 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 14 + 7w + 11w = 12 + -11w + 11w Combine like terms: 7w + 11w = 18w 14 + 18w = 12 + -11w + 11w Combine like terms: -11w + 11w = 0 14 + 18w = 12 + 0 14 + 18w = 12 Add '-14' to each side of the equation. 14 + -14 + 18w = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 18w = 12 + -14 18w = 12 + -14 Combine like terms: 12 + -14 = -2 18w = -2 Divide each side by '18'. w = -0.1111111111 Simplifying w = -0.1111111111
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