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Simplifying 3a + 2b = 4a + 1c Solving 3a + 2b = 4a + 1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 3a + -4a + 2b = 4a + -4a + 1c Combine like terms: 3a + -4a = -1a -1a + 2b = 4a + -4a + 1c Combine like terms: 4a + -4a = 0 -1a + 2b = 0 + 1c -1a + 2b = 1c Add '-2b' to each side of the equation. -1a + 2b + -2b = -2b + 1c Combine like terms: 2b + -2b = 0 -1a + 0 = -2b + 1c -1a = -2b + 1c Divide each side by '-1'. a = 2b + -1c Simplifying a = 2b + -1c
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