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Simplifying -6(5 + -15w) = -5(-16 + 4w) (5 * -6 + -15w * -6) = -5(-16 + 4w) (-30 + 90w) = -5(-16 + 4w) -30 + 90w = (-16 * -5 + 4w * -5) -30 + 90w = (80 + -20w) Solving -30 + 90w = 80 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. -30 + 90w + 20w = 80 + -20w + 20w Combine like terms: 90w + 20w = 110w -30 + 110w = 80 + -20w + 20w Combine like terms: -20w + 20w = 0 -30 + 110w = 80 + 0 -30 + 110w = 80 Add '30' to each side of the equation. -30 + 30 + 110w = 80 + 30 Combine like terms: -30 + 30 = 0 0 + 110w = 80 + 30 110w = 80 + 30 Combine like terms: 80 + 30 = 110 110w = 110 Divide each side by '110'. w = 1 Simplifying w = 1
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