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Simplifying (w * 4) + ((1 + -1w) * 11) = 6 Reorder the terms for easier multiplication: (4w) + ((1 + -1w) * 11) = 6 Reorder the terms for easier multiplication: (4w) + (11(1 + -1w)) = 6 (4w) + ((1 * 11 + -1w * 11)) = 6 (4w) + ((11 + -11w)) = 6 (4w) + (11 + -11w) = 6 Remove parenthesis around (11 + -11w) (4w) + 11 + -11w = 6 Reorder the terms: 11 + (4w) + -11w = 6 Combine like terms: (4w) + -11w = -7w 11 + -7w = 6 Solving 11 + -7w = 6 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 + -7w = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -7w = 6 + -11 -7w = 6 + -11 Combine like terms: 6 + -11 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143
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