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Simplifying 5w + 11 = 7(w + 3) Reorder the terms: 11 + 5w = 7(w + 3) Reorder the terms: 11 + 5w = 7(3 + w) 11 + 5w = (3 * 7 + w * 7) 11 + 5w = (21 + 7w) Solving 11 + 5w = 21 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 11 + 5w + -7w = 21 + 7w + -7w Combine like terms: 5w + -7w = -2w 11 + -2w = 21 + 7w + -7w Combine like terms: 7w + -7w = 0 11 + -2w = 21 + 0 11 + -2w = 21 Add '-11' to each side of the equation. 11 + -11 + -2w = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 21 + -11 -2w = 21 + -11 Combine like terms: 21 + -11 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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