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Simplifying -34 = 5(w + -8) + -8w Reorder the terms: -34 = 5(-8 + w) + -8w -34 = (-8 * 5 + w * 5) + -8w -34 = (-40 + 5w) + -8w Combine like terms: 5w + -8w = -3w -34 = -40 + -3w Solving -34 = -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. -34 + 3w = -40 + -3w + 3w Combine like terms: -3w + 3w = 0 -34 + 3w = -40 + 0 -34 + 3w = -40 Add '34' to each side of the equation. -34 + 34 + 3w = -40 + 34 Combine like terms: -34 + 34 = 0 0 + 3w = -40 + 34 3w = -40 + 34 Combine like terms: -40 + 34 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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