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Simplifying -1w + 3x + 2y + -1z = 0 Solving -1w + 3x + 2y + -1z = 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. -1w + 3x + 2y + -3x + -1z = 0 + -3x Reorder the terms: -1w + 3x + -3x + 2y + -1z = 0 + -3x Combine like terms: 3x + -3x = 0 -1w + 0 + 2y + -1z = 0 + -3x -1w + 2y + -1z = 0 + -3x Remove the zero: -1w + 2y + -1z = -3x Add '-2y' to each side of the equation. -1w + 2y + -2y + -1z = -3x + -2y Combine like terms: 2y + -2y = 0 -1w + 0 + -1z = -3x + -2y -1w + -1z = -3x + -2y Add 'z' to each side of the equation. -1w + -1z + z = -3x + -2y + z Combine like terms: -1z + z = 0 -1w + 0 = -3x + -2y + z -1w = -3x + -2y + z Divide each side by '-1'. w = 3x + 2y + -1z Simplifying w = 3x + 2y + -1z
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