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Simplifying 8 = 7(w + 4) + -5w Reorder the terms: 8 = 7(4 + w) + -5w 8 = (4 * 7 + w * 7) + -5w 8 = (28 + 7w) + -5w Combine like terms: 7w + -5w = 2w 8 = 28 + 2w Solving 8 = 28 + 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. 8 + -2w = 28 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + -2w = 28 + 0 8 + -2w = 28 Add '-8' to each side of the equation. 8 + -8 + -2w = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 28 + -8 -2w = 28 + -8 Combine like terms: 28 + -8 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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