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Simplifying 9(w + 7) = -2w + -3 Reorder the terms: 9(7 + w) = -2w + -3 (7 * 9 + w * 9) = -2w + -3 (63 + 9w) = -2w + -3 Reorder the terms: 63 + 9w = -3 + -2w Solving 63 + 9w = -3 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 63 + 9w + 2w = -3 + -2w + 2w Combine like terms: 9w + 2w = 11w 63 + 11w = -3 + -2w + 2w Combine like terms: -2w + 2w = 0 63 + 11w = -3 + 0 63 + 11w = -3 Add '-63' to each side of the equation. 63 + -63 + 11w = -3 + -63 Combine like terms: 63 + -63 = 0 0 + 11w = -3 + -63 11w = -3 + -63 Combine like terms: -3 + -63 = -66 11w = -66 Divide each side by '11'. w = -6 Simplifying w = -6
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