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Simplifying 8 = -8w + 4(w + 7) Reorder the terms: 8 = -8w + 4(7 + w) 8 = -8w + (7 * 4 + w * 4) 8 = -8w + (28 + 4w) Reorder the terms: 8 = 28 + -8w + 4w Combine like terms: -8w + 4w = -4w 8 = 28 + -4w Solving 8 = 28 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 8 + 4w = 28 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 4w = 28 + 0 8 + 4w = 28 Add '-8' to each side of the equation. 8 + -8 + 4w = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 28 + -8 4w = 28 + -8 Combine like terms: 28 + -8 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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