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Simplifying 8(-2w + 6) + 4(-1 + -5w) = 0 Reorder the terms: 8(6 + -2w) + 4(-1 + -5w) = 0 (6 * 8 + -2w * 8) + 4(-1 + -5w) = 0 (48 + -16w) + 4(-1 + -5w) = 0 48 + -16w + (-1 * 4 + -5w * 4) = 0 48 + -16w + (-4 + -20w) = 0 Reorder the terms: 48 + -4 + -16w + -20w = 0 Combine like terms: 48 + -4 = 44 44 + -16w + -20w = 0 Combine like terms: -16w + -20w = -36w 44 + -36w = 0 Solving 44 + -36w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -36w = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -36w = 0 + -44 -36w = 0 + -44 Combine like terms: 0 + -44 = -44 -36w = -44 Divide each side by '-36'. w = 1.222222222 Simplifying w = 1.222222222
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