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Simplifying -6w + -4(-4x + 2w) + 5x = 0 Reorder the terms: -6w + -4(2w + -4x) + 5x = 0 -6w + (2w * -4 + -4x * -4) + 5x = 0 -6w + (-8w + 16x) + 5x = 0 Combine like terms: -6w + -8w = -14w -14w + 16x + 5x = 0 Combine like terms: 16x + 5x = 21x -14w + 21x = 0 Solving -14w + 21x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21x' to each side of the equation. -14w + 21x + -21x = 0 + -21x Combine like terms: 21x + -21x = 0 -14w + 0 = 0 + -21x -14w = 0 + -21x Remove the zero: -14w = -21x Divide each side by '-14'. w = 1.5x Simplifying w = 1.5x
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