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Simplifying 21 = 3(w + -3) + 7w Reorder the terms: 21 = 3(-3 + w) + 7w 21 = (-3 * 3 + w * 3) + 7w 21 = (-9 + 3w) + 7w Combine like terms: 3w + 7w = 10w 21 = -9 + 10w Solving 21 = -9 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 21 + -10w = -9 + 10w + -10w Combine like terms: 10w + -10w = 0 21 + -10w = -9 + 0 21 + -10w = -9 Add '-21' to each side of the equation. 21 + -21 + -10w = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -10w = -9 + -21 -10w = -9 + -21 Combine like terms: -9 + -21 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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