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Simplifying 28 = 6(w + 8) + -4w Reorder the terms: 28 = 6(8 + w) + -4w 28 = (8 * 6 + w * 6) + -4w 28 = (48 + 6w) + -4w Combine like terms: 6w + -4w = 2w 28 = 48 + 2w Solving 28 = 48 + 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. 28 + -2w = 48 + 2w + -2w Combine like terms: 2w + -2w = 0 28 + -2w = 48 + 0 28 + -2w = 48 Add '-28' to each side of the equation. 28 + -28 + -2w = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -2w = 48 + -28 -2w = 48 + -28 Combine like terms: 48 + -28 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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