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Simplifying 5(w + 2) + -11 = 2w + (9 + 7w) Reorder the terms: 5(2 + w) + -11 = 2w + (9 + 7w) (2 * 5 + w * 5) + -11 = 2w + (9 + 7w) (10 + 5w) + -11 = 2w + (9 + 7w) Reorder the terms: 10 + -11 + 5w = 2w + (9 + 7w) Combine like terms: 10 + -11 = -1 -1 + 5w = 2w + (9 + 7w) Remove parenthesis around (9 + 7w) -1 + 5w = 2w + 9 + 7w Reorder the terms: -1 + 5w = 9 + 2w + 7w Combine like terms: 2w + 7w = 9w -1 + 5w = 9 + 9w Solving -1 + 5w = 9 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -1 + 5w + -9w = 9 + 9w + -9w Combine like terms: 5w + -9w = -4w -1 + -4w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 -1 + -4w = 9 + 0 -1 + -4w = 9 Add '1' to each side of the equation. -1 + 1 + -4w = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -4w = 9 + 1 -4w = 9 + 1 Combine like terms: 9 + 1 = 10 -4w = 10 Divide each side by '-4'. w = -2.5 Simplifying w = -2.5
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