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Simplifying 5(w + -5) + -5 = -5(-4w + 8) + -3w Reorder the terms: 5(-5 + w) + -5 = -5(-4w + 8) + -3w (-5 * 5 + w * 5) + -5 = -5(-4w + 8) + -3w (-25 + 5w) + -5 = -5(-4w + 8) + -3w Reorder the terms: -25 + -5 + 5w = -5(-4w + 8) + -3w Combine like terms: -25 + -5 = -30 -30 + 5w = -5(-4w + 8) + -3w Reorder the terms: -30 + 5w = -5(8 + -4w) + -3w -30 + 5w = (8 * -5 + -4w * -5) + -3w -30 + 5w = (-40 + 20w) + -3w Combine like terms: 20w + -3w = 17w -30 + 5w = -40 + 17w Solving -30 + 5w = -40 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -30 + 5w + -17w = -40 + 17w + -17w Combine like terms: 5w + -17w = -12w -30 + -12w = -40 + 17w + -17w Combine like terms: 17w + -17w = 0 -30 + -12w = -40 + 0 -30 + -12w = -40 Add '30' to each side of the equation. -30 + 30 + -12w = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -12w = -40 + 30 -12w = -40 + 30 Combine like terms: -40 + 30 = -10 -12w = -10 Divide each side by '-12'. w = 0.8333333333 Simplifying w = 0.8333333333
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