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Simplifying 0.11w + 32000(0.09) = 0.2(w + 32000) Multiply 32000 * 0.09 0.11w + 2880 = 0.2(w + 32000) Reorder the terms: 2880 + 0.11w = 0.2(w + 32000) Reorder the terms: 2880 + 0.11w = 0.2(32000 + w) 2880 + 0.11w = (32000 * 0.2 + w * 0.2) 2880 + 0.11w = (6400 + 0.2w) Solving 2880 + 0.11w = 6400 + 0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2w' to each side of the equation. 2880 + 0.11w + -0.2w = 6400 + 0.2w + -0.2w Combine like terms: 0.11w + -0.2w = -0.09w 2880 + -0.09w = 6400 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 2880 + -0.09w = 6400 + 0.0 2880 + -0.09w = 6400 Add '-2880' to each side of the equation. 2880 + -2880 + -0.09w = 6400 + -2880 Combine like terms: 2880 + -2880 = 0 0 + -0.09w = 6400 + -2880 -0.09w = 6400 + -2880 Combine like terms: 6400 + -2880 = 3520 -0.09w = 3520 Divide each side by '-0.09'. w = -39111.11111 Simplifying w = -39111.11111
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