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Simplifying -12(8x + -6y + 4z) = 0 (8x * -12 + -6y * -12 + 4z * -12) = 0 (-96x + 72y + -48z) = 0 Solving -96x + 72y + -48z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72y' to each side of the equation. -96x + 72y + -72y + -48z = 0 + -72y Combine like terms: 72y + -72y = 0 -96x + 0 + -48z = 0 + -72y -96x + -48z = 0 + -72y Remove the zero: -96x + -48z = -72y Add '48z' to each side of the equation. -96x + -48z + 48z = -72y + 48z Combine like terms: -48z + 48z = 0 -96x + 0 = -72y + 48z -96x = -72y + 48z Divide each side by '-96'. x = 0.75y + -0.5z Simplifying x = 0.75y + -0.5z
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