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Simplifying -7w + -2(w + -4) = 6 + (2w + 3) Reorder the terms: -7w + -2(-4 + w) = 6 + (2w + 3) -7w + (-4 * -2 + w * -2) = 6 + (2w + 3) -7w + (8 + -2w) = 6 + (2w + 3) Reorder the terms: 8 + -7w + -2w = 6 + (2w + 3) Combine like terms: -7w + -2w = -9w 8 + -9w = 6 + (2w + 3) Reorder the terms: 8 + -9w = 6 + (3 + 2w) Remove parenthesis around (3 + 2w) 8 + -9w = 6 + 3 + 2w Combine like terms: 6 + 3 = 9 8 + -9w = 9 + 2w Solving 8 + -9w = 9 + 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. 8 + -9w + -2w = 9 + 2w + -2w Combine like terms: -9w + -2w = -11w 8 + -11w = 9 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + -11w = 9 + 0 8 + -11w = 9 Add '-8' to each side of the equation. 8 + -8 + -11w = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -11w = 9 + -8 -11w = 9 + -8 Combine like terms: 9 + -8 = 1 -11w = 1 Divide each side by '-11'. w = -0.09090909091 Simplifying w = -0.09090909091
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