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Simplifying a + c + -6b = 4b + 3c + -3 Reorder the terms: a + -6b + c = 4b + 3c + -3 Reorder the terms: a + -6b + c = -3 + 4b + 3c Solving a + -6b + c = -3 + 4b + 3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b + c = -3 + 4b + 6b + 3c Combine like terms: -6b + 6b = 0 a + 0 + c = -3 + 4b + 6b + 3c a + c = -3 + 4b + 6b + 3c Combine like terms: 4b + 6b = 10b a + c = -3 + 10b + 3c Add '-1c' to each side of the equation. a + c + -1c = -3 + 10b + 3c + -1c Combine like terms: c + -1c = 0 a + 0 = -3 + 10b + 3c + -1c a = -3 + 10b + 3c + -1c Combine like terms: 3c + -1c = 2c a = -3 + 10b + 2c Simplifying a = -3 + 10b + 2c
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