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Simplifying 8 = 8(w + -5) + 4w Reorder the terms: 8 = 8(-5 + w) + 4w 8 = (-5 * 8 + w * 8) + 4w 8 = (-40 + 8w) + 4w Combine like terms: 8w + 4w = 12w 8 = -40 + 12w Solving 8 = -40 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 8 + -12w = -40 + 12w + -12w Combine like terms: 12w + -12w = 0 8 + -12w = -40 + 0 8 + -12w = -40 Add '-8' to each side of the equation. 8 + -8 + -12w = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -12w = -40 + -8 -12w = -40 + -8 Combine like terms: -40 + -8 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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