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Simplifying 5(2w + 2) + -11 = 2w + (9 + -7w) Reorder the terms: 5(2 + 2w) + -11 = 2w + (9 + -7w) (2 * 5 + 2w * 5) + -11 = 2w + (9 + -7w) (10 + 10w) + -11 = 2w + (9 + -7w) Reorder the terms: 10 + -11 + 10w = 2w + (9 + -7w) Combine like terms: 10 + -11 = -1 -1 + 10w = 2w + (9 + -7w) Remove parenthesis around (9 + -7w) -1 + 10w = 2w + 9 + -7w Reorder the terms: -1 + 10w = 9 + 2w + -7w Combine like terms: 2w + -7w = -5w -1 + 10w = 9 + -5w Solving -1 + 10w = 9 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + 10w + 5w = 9 + -5w + 5w Combine like terms: 10w + 5w = 15w -1 + 15w = 9 + -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 15w = 9 + 0 -1 + 15w = 9 Add '1' to each side of the equation. -1 + 1 + 15w = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 15w = 9 + 1 15w = 9 + 1 Combine like terms: 9 + 1 = 10 15w = 10 Divide each side by '15'. w = 0.6666666667 Simplifying w = 0.6666666667
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