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Simplifying -4(2w + -1) + -3(w + 2) = 0 Reorder the terms: -4(-1 + 2w) + -3(w + 2) = 0 (-1 * -4 + 2w * -4) + -3(w + 2) = 0 (4 + -8w) + -3(w + 2) = 0 Reorder the terms: 4 + -8w + -3(2 + w) = 0 4 + -8w + (2 * -3 + w * -3) = 0 4 + -8w + (-6 + -3w) = 0 Reorder the terms: 4 + -6 + -8w + -3w = 0 Combine like terms: 4 + -6 = -2 -2 + -8w + -3w = 0 Combine like terms: -8w + -3w = -11w -2 + -11w = 0 Solving -2 + -11w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -11w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11w = 0 + 2 -11w = 0 + 2 Combine like terms: 0 + 2 = 2 -11w = 2 Divide each side by '-11'. w = -0.1818181818 Simplifying w = -0.1818181818
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