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Simplifying -2(-7w + 5) + -3w = 2(w + -7) + -8 Reorder the terms: -2(5 + -7w) + -3w = 2(w + -7) + -8 (5 * -2 + -7w * -2) + -3w = 2(w + -7) + -8 (-10 + 14w) + -3w = 2(w + -7) + -8 Combine like terms: 14w + -3w = 11w -10 + 11w = 2(w + -7) + -8 Reorder the terms: -10 + 11w = 2(-7 + w) + -8 -10 + 11w = (-7 * 2 + w * 2) + -8 -10 + 11w = (-14 + 2w) + -8 Reorder the terms: -10 + 11w = -14 + -8 + 2w Combine like terms: -14 + -8 = -22 -10 + 11w = -22 + 2w Solving -10 + 11w = -22 + 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. -10 + 11w + -2w = -22 + 2w + -2w Combine like terms: 11w + -2w = 9w -10 + 9w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 9w = -22 + 0 -10 + 9w = -22 Add '10' to each side of the equation. -10 + 10 + 9w = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = -22 + 10 9w = -22 + 10 Combine like terms: -22 + 10 = -12 9w = -12 Divide each side by '9'. w = -1.333333333 Simplifying w = -1.333333333
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