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Simplifying 4(w + 8) = 8w + 28 Reorder the terms: 4(8 + w) = 8w + 28 (8 * 4 + w * 4) = 8w + 28 (32 + 4w) = 8w + 28 Reorder the terms: 32 + 4w = 28 + 8w Solving 32 + 4w = 28 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 32 + 4w + -8w = 28 + 8w + -8w Combine like terms: 4w + -8w = -4w 32 + -4w = 28 + 8w + -8w Combine like terms: 8w + -8w = 0 32 + -4w = 28 + 0 32 + -4w = 28 Add '-32' to each side of the equation. 32 + -32 + -4w = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 28 + -32 -4w = 28 + -32 Combine like terms: 28 + -32 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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