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Simplifying 3(w + 7) = -3(5w + -1) + 8w Reorder the terms: 3(7 + w) = -3(5w + -1) + 8w (7 * 3 + w * 3) = -3(5w + -1) + 8w (21 + 3w) = -3(5w + -1) + 8w Reorder the terms: 21 + 3w = -3(-1 + 5w) + 8w 21 + 3w = (-1 * -3 + 5w * -3) + 8w 21 + 3w = (3 + -15w) + 8w Combine like terms: -15w + 8w = -7w 21 + 3w = 3 + -7w Solving 21 + 3w = 3 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 21 + 3w + 7w = 3 + -7w + 7w Combine like terms: 3w + 7w = 10w 21 + 10w = 3 + -7w + 7w Combine like terms: -7w + 7w = 0 21 + 10w = 3 + 0 21 + 10w = 3 Add '-21' to each side of the equation. 21 + -21 + 10w = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 10w = 3 + -21 10w = 3 + -21 Combine like terms: 3 + -21 = -18 10w = -18 Divide each side by '10'. w = -1.8 Simplifying w = -1.8
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