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Simplifying 21 = -5w + 2(w + -3) Reorder the terms: 21 = -5w + 2(-3 + w) 21 = -5w + (-3 * 2 + w * 2) 21 = -5w + (-6 + 2w) Reorder the terms: 21 = -6 + -5w + 2w Combine like terms: -5w + 2w = -3w 21 = -6 + -3w Solving 21 = -6 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 21 + 3w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 21 + 3w = -6 + 0 21 + 3w = -6 Add '-21' to each side of the equation. 21 + -21 + 3w = -6 + -21 Combine like terms: 21 + -21 = 0 0 + 3w = -6 + -21 3w = -6 + -21 Combine like terms: -6 + -21 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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