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Simplifying 5w + 14 = -8(w + 8) Reorder the terms: 14 + 5w = -8(w + 8) Reorder the terms: 14 + 5w = -8(8 + w) 14 + 5w = (8 * -8 + w * -8) 14 + 5w = (-64 + -8w) Solving 14 + 5w = -64 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 14 + 5w + 8w = -64 + -8w + 8w Combine like terms: 5w + 8w = 13w 14 + 13w = -64 + -8w + 8w Combine like terms: -8w + 8w = 0 14 + 13w = -64 + 0 14 + 13w = -64 Add '-14' to each side of the equation. 14 + -14 + 13w = -64 + -14 Combine like terms: 14 + -14 = 0 0 + 13w = -64 + -14 13w = -64 + -14 Combine like terms: -64 + -14 = -78 13w = -78 Divide each side by '13'. w = -6 Simplifying w = -6
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