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Simplifying 6x + 3y + -2z + w = 12 Reorder the terms: w + 6x + 3y + -2z = 12 Solving w + 6x + 3y + -2z = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6x' to each side of the equation. w + 6x + 3y + -6x + -2z = 12 + -6x Reorder the terms: w + 6x + -6x + 3y + -2z = 12 + -6x Combine like terms: 6x + -6x = 0 w + 0 + 3y + -2z = 12 + -6x w + 3y + -2z = 12 + -6x Add '-3y' to each side of the equation. w + 3y + -3y + -2z = 12 + -6x + -3y Combine like terms: 3y + -3y = 0 w + 0 + -2z = 12 + -6x + -3y w + -2z = 12 + -6x + -3y Add '2z' to each side of the equation. w + -2z + 2z = 12 + -6x + -3y + 2z Combine like terms: -2z + 2z = 0 w + 0 = 12 + -6x + -3y + 2z w = 12 + -6x + -3y + 2z Simplifying w = 12 + -6x + -3y + 2z
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