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Simplifying 6w + -1(8 + -7w) + 2(w + 4) = 0 6w + (8 * -1 + -7w * -1) + 2(w + 4) = 0 6w + (-8 + 7w) + 2(w + 4) = 0 Reorder the terms: 6w + -8 + 7w + 2(4 + w) = 0 6w + -8 + 7w + (4 * 2 + w * 2) = 0 6w + -8 + 7w + (8 + 2w) = 0 Reorder the terms: -8 + 8 + 6w + 7w + 2w = 0 Combine like terms: -8 + 8 = 0 0 + 6w + 7w + 2w = 0 6w + 7w + 2w = 0 Combine like terms: 6w + 7w = 13w 13w + 2w = 0 Combine like terms: 13w + 2w = 15w 15w = 0 Solving 15w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '15'. w = 0 Simplifying w = 0
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