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Simplifying 6w + -1(8 + -2w) + w = 7 6w + (8 * -1 + -2w * -1) + w = 7 6w + (-8 + 2w) + w = 7 Reorder the terms: -8 + 6w + 2w + w = 7 Combine like terms: 6w + 2w = 8w -8 + 8w + w = 7 Combine like terms: 8w + w = 9w -8 + 9w = 7 Solving -8 + 9w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 9w = 7 + 8 9w = 7 + 8 Combine like terms: 7 + 8 = 15 9w = 15 Divide each side by '9'. w = 1.666666667 Simplifying w = 1.666666667
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