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Simplifying 5w + 21 = -6(w + 2) Reorder the terms: 21 + 5w = -6(w + 2) Reorder the terms: 21 + 5w = -6(2 + w) 21 + 5w = (2 * -6 + w * -6) 21 + 5w = (-12 + -6w) Solving 21 + 5w = -12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 21 + 5w + 6w = -12 + -6w + 6w Combine like terms: 5w + 6w = 11w 21 + 11w = -12 + -6w + 6w Combine like terms: -6w + 6w = 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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