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Simplifying 6w + -18 = -5(w + 8) Reorder the terms: -18 + 6w = -5(w + 8) Reorder the terms: -18 + 6w = -5(8 + w) -18 + 6w = (8 * -5 + w * -5) -18 + 6w = (-40 + -5w) Solving -18 + 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. -18 + 6w + 5w = -40 + -5w + 5w Combine like terms: 6w + 5w = 11w -18 + 11w = -40 + -5w + 5w Combine like terms: -5w + 5w = 0 -18 + 11w = -40 + 0 -18 + 11w = -40 Add '18' to each side of the equation. -18 + 18 + 11w = -40 + 18 Combine like terms: -18 + 18 = 0 0 + 11w = -40 + 18 11w = -40 + 18 Combine like terms: -40 + 18 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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