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Simplifying 8w + 7(w + -2) = -29 Reorder the terms: 8w + 7(-2 + w) = -29 8w + (-2 * 7 + w * 7) = -29 8w + (-14 + 7w) = -29 Reorder the terms: -14 + 8w + 7w = -29 Combine like terms: 8w + 7w = 15w -14 + 15w = -29 Solving -14 + 15w = -29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 15w = -29 + 14 Combine like terms: -14 + 14 = 0 0 + 15w = -29 + 14 15w = -29 + 14 Combine like terms: -29 + 14 = -15 15w = -15 Divide each side by '15'. w = -1 Simplifying w = -1
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