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Simplifying 10w + 7(w + 2) + (-2) + -6 + w + -8(w + 4) = 0 Reorder the terms: 10w + 7(2 + w) + (-2) + -6 + w + -8(w + 4) = 0 10w + (2 * 7 + w * 7) + (-2) + -6 + w + -8(w + 4) = 0 10w + (14 + 7w) + (-2) + -6 + w + -8(w + 4) = 0 10w + 14 + 7w + -2 + -6 + w + -8(w + 4) = 0 Reorder the terms: 10w + 14 + 7w + -2 + -6 + w + -8(4 + w) = 0 10w + 14 + 7w + -2 + -6 + w + (4 * -8 + w * -8) = 0 10w + 14 + 7w + -2 + -6 + w + (-32 + -8w) = 0 Reorder the terms: 14 + -2 + -6 + -32 + 10w + 7w + w + -8w = 0 Combine like terms: 14 + -2 = 12 12 + -6 + -32 + 10w + 7w + w + -8w = 0 Combine like terms: 12 + -6 = 6 6 + -32 + 10w + 7w + w + -8w = 0 Combine like terms: 6 + -32 = -26 -26 + 10w + 7w + w + -8w = 0 Combine like terms: 10w + 7w = 17w -26 + 17w + w + -8w = 0 Combine like terms: 17w + w = 18w -26 + 18w + -8w = 0 Combine like terms: 18w + -8w = 10w -26 + 10w = 0 Solving -26 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 10w = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 10w = 0 + 26 10w = 0 + 26 Combine like terms: 0 + 26 = 26 10w = 26 Divide each side by '10'. w = 2.6 Simplifying w = 2.6
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