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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 = 47 47 + -16w + -5w = 0 Combine like terms: -16w + -5w = -21w 47 + -21w = 0 Solving 47 + -21w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -21w = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -21w = 0 + -47 -21w = 0 + -47 Combine like terms: 0 + -47 = -47 -21w = -47 Divide each side by '-21'. w = 2.238095238 Simplifying w = 2.238095238
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