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