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Simplifying -4w + 6y + -8z + 12 = 0 Reorder the terms: 12 + -4w + 6y + -8z = 0 Solving 12 + -4w + 6y + -8z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4w + 6y + -12 + -8z = 0 + -12 Reorder the terms: 12 + -12 + -4w + 6y + -8z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4w + 6y + -8z = 0 + -12 -4w + 6y + -8z = 0 + -12 Combine like terms: 0 + -12 = -12 -4w + 6y + -8z = -12 Add '-6y' to each side of the equation. -4w + 6y + -6y + -8z = -12 + -6y Combine like terms: 6y + -6y = 0 -4w + 0 + -8z = -12 + -6y -4w + -8z = -12 + -6y Add '8z' to each side of the equation. -4w + -8z + 8z = -12 + -6y + 8z Combine like terms: -8z + 8z = 0 -4w + 0 = -12 + -6y + 8z -4w = -12 + -6y + 8z Divide each side by '-4'. w = 3 + 1.5y + -2z Simplifying w = 3 + 1.5y + -2z
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