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Simplifying ax + by + 2cz = 6 Solving ax + by + 2cz = 6 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 + 2cz = 6 + -1by Combine like terms: by + -1by = 0 ax + 0 + 2cz = 6 + -1by ax + 2cz = 6 + -1by Add '-2cz' to each side of the equation. ax + 2cz + -2cz = 6 + -1by + -2cz Combine like terms: 2cz + -2cz = 0 ax + 0 = 6 + -1by + -2cz ax = 6 + -1by + -2cz Divide each side by 'x'. a = 6x-1 + -1bx-1y + -2cx-1z Simplifying a = 6x-1 + -1bx-1y + -2cx-1z Reorder the terms: a = -1bx-1y + -2cx-1z + 6x-1
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