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Simplifying 2w + -4(-6x + 4w) + -5x = 0 Reorder the terms: 2w + -4(4w + -6x) + -5x = 0 2w + (4w * -4 + -6x * -4) + -5x = 0 2w + (-16w + 24x) + -5x = 0 Combine like terms: 2w + -16w = -14w -14w + 24x + -5x = 0 Combine like terms: 24x + -5x = 19x -14w + 19x = 0 Solving -14w + 19x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19x' to each side of the equation. -14w + 19x + -19x = 0 + -19x Combine like terms: 19x + -19x = 0 -14w + 0 = 0 + -19x -14w = 0 + -19x Remove the zero: -14w = -19x Divide each side by '-14'. w = 1.357142857x Simplifying w = 1.357142857x
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