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Simplifying -3(6x + -3y + 4z) = 0 (6x * -3 + -3y * -3 + 4z * -3) = 0 (-18x + 9y + -12z) = 0 Solving -18x + 9y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -18x + 9y + -9y + -12z = 0 + -9y Combine like terms: 9y + -9y = 0 -18x + 0 + -12z = 0 + -9y -18x + -12z = 0 + -9y Remove the zero: -18x + -12z = -9y Add '12z' to each side of the equation. -18x + -12z + 12z = -9y + 12z Combine like terms: -12z + 12z = 0 -18x + 0 = -9y + 12z -18x = -9y + 12z Divide each side by '-18'. x = 0.5y + -0.6666666667z Simplifying x = 0.5y + -0.6666666667z
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