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Simplifying 3(w + 7) + 5w = w + 12 Reorder the terms: 3(7 + w) + 5w = w + 12 (7 * 3 + w * 3) + 5w = w + 12 (21 + 3w) + 5w = w + 12 Combine like terms: 3w + 5w = 8w 21 + 8w = w + 12 Reorder the terms: 21 + 8w = 12 + w Solving 21 + 8w = 12 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 21 + 8w + -1w = 12 + w + -1w Combine like terms: 8w + -1w = 7w 21 + 7w = 12 + w + -1w Combine like terms: w + -1w = 0 21 + 7w = 12 + 0 21 + 7w = 12 Add '-21' to each side of the equation. 21 + -21 + 7w = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 7w = 12 + -21 7w = 12 + -21 Combine like terms: 12 + -21 = -9 7w = -9 Divide each side by '7'. w = -1.285714286 Simplifying w = -1.285714286
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