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Simplifying 0.6 + 0.8(w + -9) = 0.11(w + -11) + 0.2w Reorder the terms: 0.6 + 0.8(-9 + w) = 0.11(w + -11) + 0.2w 0.6 + (-9 * 0.8 + w * 0.8) = 0.11(w + -11) + 0.2w 0.6 + (-7.2 + 0.8w) = 0.11(w + -11) + 0.2w Combine like terms: 0.6 + -7.2 = -6.6 -6.6 + 0.8w = 0.11(w + -11) + 0.2w Reorder the terms: -6.6 + 0.8w = 0.11(-11 + w) + 0.2w -6.6 + 0.8w = (-11 * 0.11 + w * 0.11) + 0.2w -6.6 + 0.8w = (-1.21 + 0.11w) + 0.2w Combine like terms: 0.11w + 0.2w = 0.31w -6.6 + 0.8w = -1.21 + 0.31w Solving -6.6 + 0.8w = -1.21 + 0.31w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.31w' to each side of the equation. -6.6 + 0.8w + -0.31w = -1.21 + 0.31w + -0.31w Combine like terms: 0.8w + -0.31w = 0.49w -6.6 + 0.49w = -1.21 + 0.31w + -0.31w Combine like terms: 0.31w + -0.31w = 0.00 -6.6 + 0.49w = -1.21 + 0.00 -6.6 + 0.49w = -1.21 Add '6.6' to each side of the equation. -6.6 + 6.6 + 0.49w = -1.21 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + 0.49w = -1.21 + 6.6 0.49w = -1.21 + 6.6 Combine like terms: -1.21 + 6.6 = 5.39 0.49w = 5.39 Divide each side by '0.49'. w = 11 Simplifying w = 11
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