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Simplifying 3(5w + 4) + 4 = 8(w + 8) + -19 Reorder the terms: 3(4 + 5w) + 4 = 8(w + 8) + -19 (4 * 3 + 5w * 3) + 4 = 8(w + 8) + -19 (12 + 15w) + 4 = 8(w + 8) + -19 Reorder the terms: 12 + 4 + 15w = 8(w + 8) + -19 Combine like terms: 12 + 4 = 16 16 + 15w = 8(w + 8) + -19 Reorder the terms: 16 + 15w = 8(8 + w) + -19 16 + 15w = (8 * 8 + w * 8) + -19 16 + 15w = (64 + 8w) + -19 Reorder the terms: 16 + 15w = 64 + -19 + 8w Combine like terms: 64 + -19 = 45 16 + 15w = 45 + 8w Solving 16 + 15w = 45 + 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 + 15w + -8w = 45 + 8w + -8w Combine like terms: 15w + -8w = 7w 16 + 7w = 45 + 8w + -8w Combine like terms: 8w + -8w = 0 16 + 7w = 45 + 0 16 + 7w = 45 Add '-16' to each side of the equation. 16 + -16 + 7w = 45 + -16 Combine like terms: 16 + -16 = 0 0 + 7w = 45 + -16 7w = 45 + -16 Combine like terms: 45 + -16 = 29 7w = 29 Divide each side by '7'. w = 4.142857143 Simplifying w = 4.142857143
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