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Simplifying -12x + -5y + 8z + -11y = 0 Reorder the terms: -12x + -5y + -11y + 8z = 0 Combine like terms: -5y + -11y = -16y -12x + -16y + 8z = 0 Solving -12x + -16y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. -12x + -16y + 16y + 8z = 0 + 16y Combine like terms: -16y + 16y = 0 -12x + 0 + 8z = 0 + 16y -12x + 8z = 0 + 16y Remove the zero: -12x + 8z = 16y Add '-8z' to each side of the equation. -12x + 8z + -8z = 16y + -8z Combine like terms: 8z + -8z = 0 -12x + 0 = 16y + -8z -12x = 16y + -8z Divide each side by '-12'. x = -1.333333333y + 0.6666666667z Simplifying x = -1.333333333y + 0.6666666667z
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