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Simplifying 3c + 2b + a = 13a Reorder the terms: a + 2b + 3c = 13a Solving a + 2b + 3c = 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. a + 2b + -13a + 3c = 13a + -13a Reorder the terms: a + -13a + 2b + 3c = 13a + -13a Combine like terms: a + -13a = -12a -12a + 2b + 3c = 13a + -13a Combine like terms: 13a + -13a = 0 -12a + 2b + 3c = 0 Add '-2b' to each side of the equation. -12a + 2b + -2b + 3c = 0 + -2b Combine like terms: 2b + -2b = 0 -12a + 0 + 3c = 0 + -2b -12a + 3c = 0 + -2b Remove the zero: -12a + 3c = -2b Add '-3c' to each side of the equation. -12a + 3c + -3c = -2b + -3c Combine like terms: 3c + -3c = 0 -12a + 0 = -2b + -3c -12a = -2b + -3c Divide each side by '-12'. a = 0.1666666667b + 0.25c Simplifying a = 0.1666666667b + 0.25c
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