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Simplifying -1w + 2x + -3y + z = -9 Solving -1w + 2x + -3y + z = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. -1w + 2x + -3y + -2x + z = -9 + -2x Reorder the terms: -1w + 2x + -2x + -3y + z = -9 + -2x Combine like terms: 2x + -2x = 0 -1w + 0 + -3y + z = -9 + -2x -1w + -3y + z = -9 + -2x Add '3y' to each side of the equation. -1w + -3y + 3y + z = -9 + -2x + 3y Combine like terms: -3y + 3y = 0 -1w + 0 + z = -9 + -2x + 3y -1w + z = -9 + -2x + 3y Add '-1z' to each side of the equation. -1w + z + -1z = -9 + -2x + 3y + -1z Combine like terms: z + -1z = 0 -1w + 0 = -9 + -2x + 3y + -1z -1w = -9 + -2x + 3y + -1z Divide each side by '-1'. w = 9 + 2x + -3y + z Simplifying w = 9 + 2x + -3y + z
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