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Simplifying a + -3b + 5c + 4a = 7abc Reorder the terms: a + 4a + -3b + 5c = 7abc Combine like terms: a + 4a = 5a 5a + -3b + 5c = 7abc Solving 5a + -3b + 5c = 7abc Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7abc' to each side of the equation. 5a + -3b + -7abc + 5c = 7abc + -7abc Reorder the terms: 5a + -7abc + -3b + 5c = 7abc + -7abc Combine like terms: 7abc + -7abc = 0 5a + -7abc + -3b + 5c = 0 Add '3b' to each side of the equation. 5a + -7abc + -3b + 3b + 5c = 0 + 3b Combine like terms: -3b + 3b = 0 5a + -7abc + 0 + 5c = 0 + 3b 5a + -7abc + 5c = 0 + 3b Remove the zero: 5a + -7abc + 5c = 3b Add '-5c' to each side of the equation. 5a + -7abc + 5c + -5c = 3b + -5c Combine like terms: 5c + -5c = 0 5a + -7abc + 0 = 3b + -5c 5a + -7abc = 3b + -5c Reorder the terms: 5a + -7abc + -3b + 5c = 3b + -3b + -5c + 5c Combine like terms: 3b + -3b = 0 5a + -7abc + -3b + 5c = 0 + -5c + 5c 5a + -7abc + -3b + 5c = -5c + 5c Combine like terms: -5c + 5c = 0 5a + -7abc + -3b + 5c = 0 The solution to this equation could not be determined.
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