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Simplifying 11 + 2(w + 1) = 5w + -6 Reorder the terms: 11 + 2(1 + w) = 5w + -6 11 + (1 * 2 + w * 2) = 5w + -6 11 + (2 + 2w) = 5w + -6 Combine like terms: 11 + 2 = 13 13 + 2w = 5w + -6 Reorder the terms: 13 + 2w = -6 + 5w Solving 13 + 2w = -6 + 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. 13 + 2w + -5w = -6 + 5w + -5w Combine like terms: 2w + -5w = -3w 13 + -3w = -6 + 5w + -5w Combine like terms: 5w + -5w = 0 13 + -3w = -6 + 0 13 + -3w = -6 Add '-13' to each side of the equation. 13 + -13 + -3w = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = -6 + -13 -3w = -6 + -13 Combine like terms: -6 + -13 = -19 -3w = -19 Divide each side by '-3'. w = 6.333333333 Simplifying w = 6.333333333
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