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Simplifying 3x + 4z + -2y + -2w = 0 Reorder the terms: -2w + 3x + -2y + 4z = 0 Solving -2w + 3x + -2y + 4z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. -2w + 3x + -2y + -3x + 4z = 0 + -3x Reorder the terms: -2w + 3x + -3x + -2y + 4z = 0 + -3x Combine like terms: 3x + -3x = 0 -2w + 0 + -2y + 4z = 0 + -3x -2w + -2y + 4z = 0 + -3x Remove the zero: -2w + -2y + 4z = -3x Add '2y' to each side of the equation. -2w + -2y + 2y + 4z = -3x + 2y Combine like terms: -2y + 2y = 0 -2w + 0 + 4z = -3x + 2y -2w + 4z = -3x + 2y Add '-4z' to each side of the equation. -2w + 4z + -4z = -3x + 2y + -4z Combine like terms: 4z + -4z = 0 -2w + 0 = -3x + 2y + -4z -2w = -3x + 2y + -4z Divide each side by '-2'. w = 1.5x + -1y + 2z Simplifying w = 1.5x + -1y + 2z
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