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Simplifying ax + by + c + (2ax + -3by + c) + by + -1c = 0 Remove parenthesis around (2ax + -3by + c) ax + by + c + 2ax + -3by + c + by + -1c = 0 Reorder the terms: ax + 2ax + by + -3by + by + c + c + -1c = 0 Combine like terms: ax + 2ax = 3ax 3ax + by + -3by + by + c + c + -1c = 0 Combine like terms: by + -3by = -2by 3ax + -2by + by + c + c + -1c = 0 Combine like terms: -2by + by = -1by 3ax + -1by + c + c + -1c = 0 Combine like terms: c + c = 2c 3ax + -1by + 2c + -1c = 0 Combine like terms: 2c + -1c = 1c 3ax + -1by + 1c = 0 Solving 3ax + -1by + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'by' to each side of the equation. 3ax + -1by + by + 1c = 0 + by Combine like terms: -1by + by = 0 3ax + 0 + 1c = 0 + by 3ax + 1c = 0 + by Remove the zero: 3ax + 1c = by Add '-1c' to each side of the equation. 3ax + 1c + -1c = by + -1c Combine like terms: 1c + -1c = 0 3ax + 0 = by + -1c 3ax = by + -1c Divide each side by '3x'. a = 0.3333333333bx-1y + -0.3333333333cx-1 Simplifying a = 0.3333333333bx-1y + -0.3333333333cx-1
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