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Simplifying 30 = 7(w + 2) + -5w Reorder the terms: 30 = 7(2 + w) + -5w 30 = (2 * 7 + w * 7) + -5w 30 = (14 + 7w) + -5w Combine like terms: 7w + -5w = 2w 30 = 14 + 2w Solving 30 = 14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 30 + -2w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -2w = 14 + 0 30 + -2w = 14 Add '-30' to each side of the equation. 30 + -30 + -2w = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 14 + -30 -2w = 14 + -30 Combine like terms: 14 + -30 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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