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Simplifying 2(-2w + 2x) + -4(-1x + -6w) = 0 (-2w * 2 + 2x * 2) + -4(-1x + -6w) = 0 (-4w + 4x) + -4(-1x + -6w) = 0 Reorder the terms: -4w + 4x + -4(-6w + -1x) = 0 -4w + 4x + (-6w * -4 + -1x * -4) = 0 -4w + 4x + (24w + 4x) = 0 Reorder the terms: -4w + 24w + 4x + 4x = 0 Combine like terms: -4w + 24w = 20w 20w + 4x + 4x = 0 Combine like terms: 4x + 4x = 8x 20w + 8x = 0 Solving 20w + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8x' to each side of the equation. 20w + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 20w + 0 = 0 + -8x 20w = 0 + -8x Remove the zero: 20w = -8x Divide each side by '20'. w = -0.4x Simplifying w = -0.4x
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