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Simplifying -6w + 4 = 5(w + -8) Reorder the terms: 4 + -6w = 5(w + -8) Reorder the terms: 4 + -6w = 5(-8 + w) 4 + -6w = (-8 * 5 + w * 5) 4 + -6w = (-40 + 5w) Solving 4 + -6w = -40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 4 + -6w + -5w = -40 + 5w + -5w Combine like terms: -6w + -5w = -11w 4 + -11w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + -11w = -40 + 0 4 + -11w = -40 Add '-4' to each side of the equation. 4 + -4 + -11w = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -11w = -40 + -4 -11w = -40 + -4 Combine like terms: -40 + -4 = -44 -11w = -44 Divide each side by '-11'. w = 4 Simplifying w = 4
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