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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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