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Simplifying -2(3w + -1x) + -6(2x + 4w) = 0 (3w * -2 + -1x * -2) + -6(2x + 4w) = 0 (-6w + 2x) + -6(2x + 4w) = 0 Reorder the terms: -6w + 2x + -6(4w + 2x) = 0 -6w + 2x + (4w * -6 + 2x * -6) = 0 -6w + 2x + (-24w + -12x) = 0 Reorder the terms: -6w + -24w + 2x + -12x = 0 Combine like terms: -6w + -24w = -30w -30w + 2x + -12x = 0 Combine like terms: 2x + -12x = -10x -30w + -10x = 0 Solving -30w + -10x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10x' to each side of the equation. -30w + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 -30w + 0 = 0 + 10x -30w = 0 + 10x Remove the zero: -30w = 10x Divide each side by '-30'. w = -0.3333333333x Simplifying w = -0.3333333333x
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