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Simplifying 5w + -11 = 2(w + 8) Reorder the terms: -11 + 5w = 2(w + 8) Reorder the terms: -11 + 5w = 2(8 + w) -11 + 5w = (8 * 2 + w * 2) -11 + 5w = (16 + 2w) Solving -11 + 5w = 16 + 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. -11 + 5w + -2w = 16 + 2w + -2w Combine like terms: 5w + -2w = 3w -11 + 3w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -11 + 3w = 16 + 0 -11 + 3w = 16 Add '11' to each side of the equation. -11 + 11 + 3w = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 3w = 16 + 11 3w = 16 + 11 Combine like terms: 16 + 11 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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