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Simplifying 21 = 5w + 6(w + -2) Reorder the terms: 21 = 5w + 6(-2 + w) 21 = 5w + (-2 * 6 + w * 6) 21 = 5w + (-12 + 6w) Reorder the terms: 21 = -12 + 5w + 6w Combine like terms: 5w + 6w = 11w 21 = -12 + 11w Solving 21 = -12 + 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. 21 + -11w = -12 + 11w + -11w Combine like terms: 11w + -11w = 0 21 + -11w = -12 + 0 21 + -11w = -12 Add '-21' to each side of the equation. 21 + -21 + -11w = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -11w = -12 + -21 -11w = -12 + -21 Combine like terms: -12 + -21 = -33 -11w = -33 Divide each side by '-11'. w = 3 Simplifying w = 3
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