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