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Simplifying 3(w + -7) + 8w + 2 = 0 Reorder the terms: 3(-7 + w) + 8w + 2 = 0 (-7 * 3 + w * 3) + 8w + 2 = 0 (-21 + 3w) + 8w + 2 = 0 Reorder the terms: -21 + 2 + 3w + 8w = 0 Combine like terms: -21 + 2 = -19 -19 + 3w + 8w = 0 Combine like terms: 3w + 8w = 11w -19 + 11w = 0 Solving -19 + 11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 11w = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 11w = 0 + 19 11w = 0 + 19 Combine like terms: 0 + 19 = 19 11w = 19 Divide each side by '11'. w = 1.727272727 Simplifying w = 1.727272727
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