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Simplifying 4(-5 + -1w) = 4w + -4 + -6 (-5 * 4 + -1w * 4) = 4w + -4 + -6 (-20 + -4w) = 4w + -4 + -6 Reorder the terms: -20 + -4w = -4 + -6 + 4w Combine like terms: -4 + -6 = -10 -20 + -4w = -10 + 4w Solving -20 + -4w = -10 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -20 + -4w + -4w = -10 + 4w + -4w Combine like terms: -4w + -4w = -8w -20 + -8w = -10 + 4w + -4w Combine like terms: 4w + -4w = 0 -20 + -8w = -10 + 0 -20 + -8w = -10 Add '20' to each side of the equation. -20 + 20 + -8w = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -8w = -10 + 20 -8w = -10 + 20 Combine like terms: -10 + 20 = 10 -8w = 10 Divide each side by '-8'. w = -1.25 Simplifying w = -1.25
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