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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 = -4w -44 + -4w = 0 Solving -44 + -4w = 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 + -4w = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -4w = 0 + 44 -4w = 0 + 44 Combine like terms: 0 + 44 = 44 -4w = 44 Divide each side by '-4'. w = -11 Simplifying w = -11
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