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Simplifying (31c + 2b) + -4a = 7a + 5c Reorder the terms: (2b + 31c) + -4a = 7a + 5c Remove parenthesis around (2b + 31c) 2b + 31c + -4a = 7a + 5c Reorder the terms: -4a + 2b + 31c = 7a + 5c Solving -4a + 2b + 31c = 7a + 5c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -4a + 2b + -7a + 31c = 7a + -7a + 5c Reorder the terms: -4a + -7a + 2b + 31c = 7a + -7a + 5c Combine like terms: -4a + -7a = -11a -11a + 2b + 31c = 7a + -7a + 5c Combine like terms: 7a + -7a = 0 -11a + 2b + 31c = 0 + 5c -11a + 2b + 31c = 5c Add '-2b' to each side of the equation. -11a + 2b + -2b + 31c = -2b + 5c Combine like terms: 2b + -2b = 0 -11a + 0 + 31c = -2b + 5c -11a + 31c = -2b + 5c Add '-31c' to each side of the equation. -11a + 31c + -31c = -2b + 5c + -31c Combine like terms: 31c + -31c = 0 -11a + 0 = -2b + 5c + -31c -11a = -2b + 5c + -31c Combine like terms: 5c + -31c = -26c -11a = -2b + -26c Divide each side by '-11'. a = 0.1818181818b + 2.363636364c Simplifying a = 0.1818181818b + 2.363636364c
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