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Simplifying 8w + -14 = -5(w + 8) Reorder the terms: -14 + 8w = -5(w + 8) Reorder the terms: -14 + 8w = -5(8 + w) -14 + 8w = (8 * -5 + w * -5) -14 + 8w = (-40 + -5w) Solving -14 + 8w = -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. -14 + 8w + 5w = -40 + -5w + 5w Combine like terms: 8w + 5w = 13w -14 + 13w = -40 + -5w + 5w Combine like terms: -5w + 5w = 0 -14 + 13w = -40 + 0 -14 + 13w = -40 Add '14' to each side of the equation. -14 + 14 + 13w = -40 + 14 Combine like terms: -14 + 14 = 0 0 + 13w = -40 + 14 13w = -40 + 14 Combine like terms: -40 + 14 = -26 13w = -26 Divide each side by '13'. w = -2 Simplifying w = -2
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