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Simplifying -19 = 5(w + -8) + -8w Reorder the terms: -19 = 5(-8 + w) + -8w -19 = (-8 * 5 + w * 5) + -8w -19 = (-40 + 5w) + -8w Combine like terms: 5w + -8w = -3w -19 = -40 + -3w Solving -19 = -40 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -19 + 3w = -40 + -3w + 3w Combine like terms: -3w + 3w = 0 -19 + 3w = -40 + 0 -19 + 3w = -40 Add '19' to each side of the equation. -19 + 19 + 3w = -40 + 19 Combine like terms: -19 + 19 = 0 0 + 3w = -40 + 19 3w = -40 + 19 Combine like terms: -40 + 19 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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