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Simplifying 2w + 21 = 5(w + 6) Reorder the terms: 21 + 2w = 5(w + 6) Reorder the terms: 21 + 2w = 5(6 + w) 21 + 2w = (6 * 5 + w * 5) 21 + 2w = (30 + 5w) Solving 21 + 2w = 30 + 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 + 2w + -5w = 30 + 5w + -5w Combine like terms: 2w + -5w = -3w 21 + -3w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 21 + -3w = 30 + 0 21 + -3w = 30 Add '-21' to each side of the equation. 21 + -21 + -3w = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 30 + -21 -3w = 30 + -21 Combine like terms: 30 + -21 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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