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Simplifying 3(w + 7) = 5w + 3 Reorder the terms: 3(7 + w) = 5w + 3 (7 * 3 + w * 3) = 5w + 3 (21 + 3w) = 5w + 3 Reorder the terms: 21 + 3w = 3 + 5w Solving 21 + 3w = 3 + 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 + 3w + -5w = 3 + 5w + -5w Combine like terms: 3w + -5w = -2w 21 + -2w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 21 + -2w = 3 + 0 21 + -2w = 3 Add '-21' to each side of the equation. 21 + -21 + -2w = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -2w = 3 + -21 -2w = 3 + -21 Combine like terms: 3 + -21 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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