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Simplifying 7w + 21 = -5(w + 3) Reorder the terms: 21 + 7w = -5(w + 3) Reorder the terms: 21 + 7w = -5(3 + w) 21 + 7w = (3 * -5 + w * -5) 21 + 7w = (-15 + -5w) Solving 21 + 7w = -15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 21 + 7w + 5w = -15 + -5w + 5w Combine like terms: 7w + 5w = 12w 21 + 12w = -15 + -5w + 5w Combine like terms: -5w + 5w = 0 21 + 12w = -15 + 0 21 + 12w = -15 Add '-21' to each side of the equation. 21 + -21 + 12w = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 12w = -15 + -21 12w = -15 + -21 Combine like terms: -15 + -21 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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