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Simplifying a + 2b = 6a + -1c Solving a + 2b = 6a + -1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. a + -6a + 2b = 6a + -6a + -1c Combine like terms: a + -6a = -5a -5a + 2b = 6a + -6a + -1c Combine like terms: 6a + -6a = 0 -5a + 2b = 0 + -1c -5a + 2b = -1c Add '-2b' to each side of the equation. -5a + 2b + -2b = -2b + -1c Combine like terms: 2b + -2b = 0 -5a + 0 = -2b + -1c -5a = -2b + -1c Divide each side by '-5'. a = 0.4b + 0.2c Simplifying a = 0.4b + 0.2c
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