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Simplifying 4(2w + 3) = 5w + 48 Reorder the terms: 4(3 + 2w) = 5w + 48 (3 * 4 + 2w * 4) = 5w + 48 (12 + 8w) = 5w + 48 Reorder the terms: 12 + 8w = 48 + 5w Solving 12 + 8w = 48 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + 8w + -5w = 48 + 5w + -5w Combine like terms: 8w + -5w = 3w 12 + 3w = 48 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + 3w = 48 + 0 12 + 3w = 48 Add '-12' to each side of the equation. 12 + -12 + 3w = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = 48 + -12 3w = 48 + -12 Combine like terms: 48 + -12 = 36 3w = 36 Divide each side by '3'. w = 12 Simplifying w = 12
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