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Simplifying -1w + 3x + 4y + z = 0 Solving -1w + 3x + 4y + z = 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 + 4y + -3x + z = 0 + -3x Reorder the terms: -1w + 3x + -3x + 4y + z = 0 + -3x Combine like terms: 3x + -3x = 0 -1w + 0 + 4y + z = 0 + -3x -1w + 4y + z = 0 + -3x Remove the zero: -1w + 4y + z = -3x Add '-4y' to each side of the equation. -1w + 4y + -4y + z = -3x + -4y Combine like terms: 4y + -4y = 0 -1w + 0 + z = -3x + -4y -1w + z = -3x + -4y Add '-1z' to each side of the equation. -1w + z + -1z = -3x + -4y + -1z Combine like terms: z + -1z = 0 -1w + 0 = -3x + -4y + -1z -1w = -3x + -4y + -1z Divide each side by '-1'. w = 3x + 4y + z Simplifying w = 3x + 4y + z
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