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Simplifying ax + by + cz = 0 Solving ax + by + cz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -1by + cz = 0 + -1by Combine like terms: by + -1by = 0 ax + 0 + cz = 0 + -1by ax + cz = 0 + -1by Remove the zero: ax + cz = -1by Add '-1cz' to each side of the equation. ax + cz + -1cz = -1by + -1cz Combine like terms: cz + -1cz = 0 ax + 0 = -1by + -1cz ax = -1by + -1cz Divide each side by 'x'. a = -1bx-1y + -1cx-1z Simplifying a = -1bx-1y + -1cx-1z
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