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Simplifying -3w + 14 = -5(w + -4) Reorder the terms: 14 + -3w = -5(w + -4) Reorder the terms: 14 + -3w = -5(-4 + w) 14 + -3w = (-4 * -5 + w * -5) 14 + -3w = (20 + -5w) Solving 14 + -3w = 20 + -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 + -3w + 5w = 20 + -5w + 5w Combine like terms: -3w + 5w = 2w 14 + 2w = 20 + -5w + 5w Combine like terms: -5w + 5w = 0 14 + 2w = 20 + 0 14 + 2w = 20 Add '-14' to each side of the equation. 14 + -14 + 2w = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 20 + -14 2w = 20 + -14 Combine like terms: 20 + -14 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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