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