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Simplifying 14 = 7w + 5(w + -2) Reorder the terms: 14 = 7w + 5(-2 + w) 14 = 7w + (-2 * 5 + w * 5) 14 = 7w + (-10 + 5w) Reorder the terms: 14 = -10 + 7w + 5w Combine like terms: 7w + 5w = 12w 14 = -10 + 12w Solving 14 = -10 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 14 + -12w = -10 + 12w + -12w Combine like terms: 12w + -12w = 0 14 + -12w = -10 + 0 14 + -12w = -10 Add '-14' to each side of the equation. 14 + -14 + -12w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12w = -10 + -14 -12w = -10 + -14 Combine like terms: -10 + -14 = -24 -12w = -24 Divide each side by '-12'. w = 2 Simplifying w = 2
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