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Simplifying 2(w + 7) + -5w = 5 Reorder the terms: 2(7 + w) + -5w = 5 (7 * 2 + w * 2) + -5w = 5 (14 + 2w) + -5w = 5 Combine like terms: 2w + -5w = -3w 14 + -3w = 5 Solving 14 + -3w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3w = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = 5 + -14 -3w = 5 + -14 Combine like terms: 5 + -14 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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