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Simplifying 3(w + 7) = -3(7w + -1) + 9w Reorder the terms: 3(7 + w) = -3(7w + -1) + 9w (7 * 3 + w * 3) = -3(7w + -1) + 9w (21 + 3w) = -3(7w + -1) + 9w Reorder the terms: 21 + 3w = -3(-1 + 7w) + 9w 21 + 3w = (-1 * -3 + 7w * -3) + 9w 21 + 3w = (3 + -21w) + 9w Combine like terms: -21w + 9w = -12w 21 + 3w = 3 + -12w Solving 21 + 3w = 3 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 21 + 3w + 12w = 3 + -12w + 12w Combine like terms: 3w + 12w = 15w 21 + 15w = 3 + -12w + 12w Combine like terms: -12w + 12w = 0 21 + 15w = 3 + 0 21 + 15w = 3 Add '-21' to each side of the equation. 21 + -21 + 15w = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 15w = 3 + -21 15w = 3 + -21 Combine like terms: 3 + -21 = -18 15w = -18 Divide each side by '15'. w = -1.2 Simplifying w = -1.2
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