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Simplifying 8(2w + -6) + (-1 + -5w) = 0 Reorder the terms: 8(-6 + 2w) + (-1 + -5w) = 0 (-6 * 8 + 2w * 8) + (-1 + -5w) = 0 (-48 + 16w) + (-1 + -5w) = 0 Remove parenthesis around (-1 + -5w) -48 + 16w + -1 + -5w = 0 Reorder the terms: -48 + -1 + 16w + -5w = 0 Combine like terms: -48 + -1 = -49 -49 + 16w + -5w = 0 Combine like terms: 16w + -5w = 11w -49 + 11w = 0 Solving -49 + 11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 11w = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 11w = 0 + 49 11w = 0 + 49 Combine like terms: 0 + 49 = 49 11w = 49 Divide each side by '11'. w = 4.454545455 Simplifying w = 4.454545455
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