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Simplifying 7w + -9 = 3 + 2(w + 9) Reorder the terms: -9 + 7w = 3 + 2(w + 9) Reorder the terms: -9 + 7w = 3 + 2(9 + w) -9 + 7w = 3 + (9 * 2 + w * 2) -9 + 7w = 3 + (18 + 2w) Combine like terms: 3 + 18 = 21 -9 + 7w = 21 + 2w Solving -9 + 7w = 21 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -9 + 7w + -2w = 21 + 2w + -2w Combine like terms: 7w + -2w = 5w -9 + 5w = 21 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + 5w = 21 + 0 -9 + 5w = 21 Add '9' to each side of the equation. -9 + 9 + 5w = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5w = 21 + 9 5w = 21 + 9 Combine like terms: 21 + 9 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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