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Simplifying -1(-2w + -1x) + 4(-6x + -5w) = 0 (-2w * -1 + -1x * -1) + 4(-6x + -5w) = 0 (2w + 1x) + 4(-6x + -5w) = 0 Reorder the terms: 2w + 1x + 4(-5w + -6x) = 0 2w + 1x + (-5w * 4 + -6x * 4) = 0 2w + 1x + (-20w + -24x) = 0 Reorder the terms: 2w + -20w + 1x + -24x = 0 Combine like terms: 2w + -20w = -18w -18w + 1x + -24x = 0 Combine like terms: 1x + -24x = -23x -18w + -23x = 0 Solving -18w + -23x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '23x' to each side of the equation. -18w + -23x + 23x = 0 + 23x Combine like terms: -23x + 23x = 0 -18w + 0 = 0 + 23x -18w = 0 + 23x Remove the zero: -18w = 23x Divide each side by '-18'. w = -1.277777778x Simplifying w = -1.277777778x
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