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Simplifying 7(w + 8) = -7(2w + -6) + 3w Reorder the terms: 7(8 + w) = -7(2w + -6) + 3w (8 * 7 + w * 7) = -7(2w + -6) + 3w (56 + 7w) = -7(2w + -6) + 3w Reorder the terms: 56 + 7w = -7(-6 + 2w) + 3w 56 + 7w = (-6 * -7 + 2w * -7) + 3w 56 + 7w = (42 + -14w) + 3w Combine like terms: -14w + 3w = -11w 56 + 7w = 42 + -11w Solving 56 + 7w = 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. 56 + 7w + 11w = 42 + -11w + 11w Combine like terms: 7w + 11w = 18w 56 + 18w = 42 + -11w + 11w Combine like terms: -11w + 11w = 0 56 + 18w = 42 + 0 56 + 18w = 42 Add '-56' to each side of the equation. 56 + -56 + 18w = 42 + -56 Combine like terms: 56 + -56 = 0 0 + 18w = 42 + -56 18w = 42 + -56 Combine like terms: 42 + -56 = -14 18w = -14 Divide each side by '18'. w = -0.7777777778 Simplifying w = -0.7777777778
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