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Simplifying 7(7 + -3w) = -11w + -11 (7 * 7 + -3w * 7) = -11w + -11 (49 + -21w) = -11w + -11 Reorder the terms: 49 + -21w = -11 + -11w Solving 49 + -21w = -11 + -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. 49 + -21w + 11w = -11 + -11w + 11w Combine like terms: -21w + 11w = -10w 49 + -10w = -11 + -11w + 11w Combine like terms: -11w + 11w = 0 49 + -10w = -11 + 0 49 + -10w = -11 Add '-49' to each side of the equation. 49 + -49 + -10w = -11 + -49 Combine like terms: 49 + -49 = 0 0 + -10w = -11 + -49 -10w = -11 + -49 Combine like terms: -11 + -49 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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