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Simplifying (w * 3) + (1 + -1w) * 11 = 7 Reorder the terms for easier multiplication: (3w) + (1 + -1w) * 11 = 7 Reorder the terms for easier multiplication: (3w) + 11(1 + -1w) = 7 (3w) + (1 * 11 + -1w * 11) = 7 (3w) + (11 + -11w) = 7 Reorder the terms: 11 + (3w) + -11w = 7 Combine like terms: (3w) + -11w = -8w 11 + -8w = 7 Solving 11 + -8w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8w = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -8w = 7 + -11 -8w = 7 + -11 Combine like terms: 7 + -11 = -4 -8w = -4 Divide each side by '-8'. w = 0.5 Simplifying w = 0.5
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