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Simplifying -2w + -3(3x + 4w) + 2x = 0 Reorder the terms: -2w + -3(4w + 3x) + 2x = 0 -2w + (4w * -3 + 3x * -3) + 2x = 0 -2w + (-12w + -9x) + 2x = 0 Combine like terms: -2w + -12w = -14w -14w + -9x + 2x = 0 Combine like terms: -9x + 2x = -7x -14w + -7x = 0 Solving -14w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. -14w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 -14w + 0 = 0 + 7x -14w = 0 + 7x Remove the zero: -14w = 7x Divide each side by '-14'. w = -0.5x Simplifying w = -0.5x
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