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Simplifying -6w + -4(2x + -5w) + 3x = 0 Reorder the terms: -6w + -4(-5w + 2x) + 3x = 0 -6w + (-5w * -4 + 2x * -4) + 3x = 0 -6w + (20w + -8x) + 3x = 0 Combine like terms: -6w + 20w = 14w 14w + -8x + 3x = 0 Combine like terms: -8x + 3x = -5x 14w + -5x = 0 Solving 14w + -5x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5x' to each side of the equation. 14w + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 14w + 0 = 0 + 5x 14w = 0 + 5x Remove the zero: 14w = 5x Divide each side by '14'. w = 0.3571428571x Simplifying w = 0.3571428571x
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