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Simplifying -4(-5w + x) + -2(-1x + 4w) = 0 (-5w * -4 + x * -4) + -2(-1x + 4w) = 0 (20w + -4x) + -2(-1x + 4w) = 0 Reorder the terms: 20w + -4x + -2(4w + -1x) = 0 20w + -4x + (4w * -2 + -1x * -2) = 0 20w + -4x + (-8w + 2x) = 0 Reorder the terms: 20w + -8w + -4x + 2x = 0 Combine like terms: 20w + -8w = 12w 12w + -4x + 2x = 0 Combine like terms: -4x + 2x = -2x 12w + -2x = 0 Solving 12w + -2x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2x' to each side of the equation. 12w + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 12w + 0 = 0 + 2x 12w = 0 + 2x Remove the zero: 12w = 2x Divide each side by '12'. w = 0.1666666667x Simplifying w = 0.1666666667x
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