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Simplifying 4(3w + 4) = 2(4w + 24) Reorder the terms: 4(4 + 3w) = 2(4w + 24) (4 * 4 + 3w * 4) = 2(4w + 24) (16 + 12w) = 2(4w + 24) Reorder the terms: 16 + 12w = 2(24 + 4w) 16 + 12w = (24 * 2 + 4w * 2) 16 + 12w = (48 + 8w) Solving 16 + 12w = 48 + 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. 16 + 12w + -8w = 48 + 8w + -8w Combine like terms: 12w + -8w = 4w 16 + 4w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 16 + 4w = 48 + 0 16 + 4w = 48 Add '-16' to each side of the equation. 16 + -16 + 4w = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 4w = 48 + -16 4w = 48 + -16 Combine like terms: 48 + -16 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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