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Simplifying 7(9w + -4) + 2(5w + 7) = 0 Reorder the terms: 7(-4 + 9w) + 2(5w + 7) = 0 (-4 * 7 + 9w * 7) + 2(5w + 7) = 0 (-28 + 63w) + 2(5w + 7) = 0 Reorder the terms: -28 + 63w + 2(7 + 5w) = 0 -28 + 63w + (7 * 2 + 5w * 2) = 0 -28 + 63w + (14 + 10w) = 0 Reorder the terms: -28 + 14 + 63w + 10w = 0 Combine like terms: -28 + 14 = -14 -14 + 63w + 10w = 0 Combine like terms: 63w + 10w = 73w -14 + 73w = 0 Solving -14 + 73w = 0 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 + 73w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 73w = 0 + 14 73w = 0 + 14 Combine like terms: 0 + 14 = 14 73w = 14 Divide each side by '73'. w = 0.1917808219 Simplifying w = 0.1917808219
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