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Simplifying 5w + -11 = 3(w + 3) Reorder the terms: -11 + 5w = 3(w + 3) Reorder the terms: -11 + 5w = 3(3 + w) -11 + 5w = (3 * 3 + w * 3) -11 + 5w = (9 + 3w) Solving -11 + 5w = 9 + 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. -11 + 5w + -3w = 9 + 3w + -3w Combine like terms: 5w + -3w = 2w -11 + 2w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -11 + 2w = 9 + 0 -11 + 2w = 9 Add '11' to each side of the equation. -11 + 11 + 2w = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2w = 9 + 11 2w = 9 + 11 Combine like terms: 9 + 11 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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