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Simplifying -2(-2w + -3x) + 3(-1x + -5w) = 0 (-2w * -2 + -3x * -2) + 3(-1x + -5w) = 0 (4w + 6x) + 3(-1x + -5w) = 0 Reorder the terms: 4w + 6x + 3(-5w + -1x) = 0 4w + 6x + (-5w * 3 + -1x * 3) = 0 4w + 6x + (-15w + -3x) = 0 Reorder the terms: 4w + -15w + 6x + -3x = 0 Combine like terms: 4w + -15w = -11w -11w + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x -11w + 3x = 0 Solving -11w + 3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. -11w + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -11w + 0 = 0 + -3x -11w = 0 + -3x Remove the zero: -11w = -3x Divide each side by '-11'. w = 0.2727272727x Simplifying w = 0.2727272727x
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