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Simplifying 6w + -2(4 + -1w) = w + 7 6w + (4 * -2 + -1w * -2) = 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 Reorder the terms: -8 + 8w = 7 + w Solving -8 + 8w = 7 + 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. -8 + 8w + -1w = 7 + w + -1w Combine like terms: 8w + -1w = 7w -8 + 7w = 7 + w + -1w Combine like terms: w + -1w = 0 -8 + 7w = 7 + 0 -8 + 7w = 7 Add '8' to each side of the equation. -8 + 8 + 7w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 7w = 7 + 8 7w = 7 + 8 Combine like terms: 7 + 8 = 15 7w = 15 Divide each side by '7'. w = 2.142857143 Simplifying w = 2.142857143
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