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Simplifying 3x + 2y + -1z + w = -5 Reorder the terms: w + 3x + 2y + -1z = -5 Solving w + 3x + 2y + -1z = -5 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. w + 3x + 2y + -3x + -1z = -5 + -3x Reorder the terms: w + 3x + -3x + 2y + -1z = -5 + -3x Combine like terms: 3x + -3x = 0 w + 0 + 2y + -1z = -5 + -3x w + 2y + -1z = -5 + -3x Add '-2y' to each side of the equation. w + 2y + -2y + -1z = -5 + -3x + -2y Combine like terms: 2y + -2y = 0 w + 0 + -1z = -5 + -3x + -2y w + -1z = -5 + -3x + -2y Add 'z' to each side of the equation. w + -1z + z = -5 + -3x + -2y + z Combine like terms: -1z + z = 0 w + 0 = -5 + -3x + -2y + z w = -5 + -3x + -2y + z Simplifying w = -5 + -3x + -2y + z
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