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Simplifying -2 = 5w + 6(w + 7) Reorder the terms: -2 = 5w + 6(7 + w) -2 = 5w + (7 * 6 + w * 6) -2 = 5w + (42 + 6w) Reorder the terms: -2 = 42 + 5w + 6w Combine like terms: 5w + 6w = 11w -2 = 42 + 11w Solving -2 = 42 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -2 + -11w = 42 + 11w + -11w Combine like terms: 11w + -11w = 0 -2 + -11w = 42 + 0 -2 + -11w = 42 Add '2' to each side of the equation. -2 + 2 + -11w = 42 + 2 Combine like terms: -2 + 2 = 0 0 + -11w = 42 + 2 -11w = 42 + 2 Combine like terms: 42 + 2 = 44 -11w = 44 Divide each side by '-11'. w = -4 Simplifying w = -4
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