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Simplifying 6w + -1(8 + -2w) + 7 = w 6w + (8 * -1 + -2w * -1) + 7 = w 6w + (-8 + 2w) + 7 = w Reorder the terms: -8 + 7 + 6w + 2w = w Combine like terms: -8 + 7 = -1 -1 + 6w + 2w = w Combine like terms: 6w + 2w = 8w -1 + 8w = w Solving -1 + 8w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -1 + 8w + -1w = w + -1w Combine like terms: 8w + -1w = 7w -1 + 7w = w + -1w Combine like terms: w + -1w = 0 -1 + 7w = 0 Add '1' to each side of the equation. -1 + 1 + 7w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7w = 0 + 1 7w = 0 + 1 Combine like terms: 0 + 1 = 1 7w = 1 Divide each side by '7'. w = 0.1428571429 Simplifying w = 0.1428571429
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