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Simplifying x + 3y + -3z + w = 12 Reorder the terms: w + x + 3y + -3z = 12 Solving w + x + 3y + -3z = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. w + x + 3y + -1x + -3z = 12 + -1x Reorder the terms: w + x + -1x + 3y + -3z = 12 + -1x Combine like terms: x + -1x = 0 w + 0 + 3y + -3z = 12 + -1x w + 3y + -3z = 12 + -1x Add '-3y' to each side of the equation. w + 3y + -3y + -3z = 12 + -1x + -3y Combine like terms: 3y + -3y = 0 w + 0 + -3z = 12 + -1x + -3y w + -3z = 12 + -1x + -3y Add '3z' to each side of the equation. w + -3z + 3z = 12 + -1x + -3y + 3z Combine like terms: -3z + 3z = 0 w + 0 = 12 + -1x + -3y + 3z w = 12 + -1x + -3y + 3z Simplifying w = 12 + -1x + -3y + 3z
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