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Simplifying (1 + -2w) + 8w = 15 Remove parenthesis around (1 + -2w) 1 + -2w + 8w = 15 Combine like terms: -2w + 8w = 6w 1 + 6w = 15 Solving 1 + 6w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6w = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 15 + -1 6w = 15 + -1 Combine like terms: 15 + -1 = 14 6w = 14 Divide each side by '6'. w = 2.333333333 Simplifying w = 2.333333333
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