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Simplifying 7w + 3(4w + 8) = 52 + 12w Reorder the terms: 7w + 3(8 + 4w) = 52 + 12w 7w + (8 * 3 + 4w * 3) = 52 + 12w 7w + (24 + 12w) = 52 + 12w Reorder the terms: 24 + 7w + 12w = 52 + 12w Combine like terms: 7w + 12w = 19w 24 + 19w = 52 + 12w Solving 24 + 19w = 52 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 24 + 19w + -12w = 52 + 12w + -12w Combine like terms: 19w + -12w = 7w 24 + 7w = 52 + 12w + -12w Combine like terms: 12w + -12w = 0 24 + 7w = 52 + 0 24 + 7w = 52 Add '-24' to each side of the equation. 24 + -24 + 7w = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 7w = 52 + -24 7w = 52 + -24 Combine like terms: 52 + -24 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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