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Simplifying 3a + (5a + -1b) + -1(7a + 3b) = a + -4b Remove parenthesis around (5a + -1b) 3a + 5a + -1b + -1(7a + 3b) = a + -4b 3a + 5a + -1b + (7a * -1 + 3b * -1) = a + -4b 3a + 5a + -1b + (-7a + -3b) = a + -4b Reorder the terms: 3a + 5a + -7a + -1b + -3b = a + -4b Combine like terms: 3a + 5a = 8a 8a + -7a + -1b + -3b = a + -4b Combine like terms: 8a + -7a = 1a 1a + -1b + -3b = a + -4b Combine like terms: -1b + -3b = -4b 1a + -4b = a + -4b Add '4b' to each side of the equation. 1a + -4b + 4b = a + -4b + 4b Combine like terms: -4b + 4b = 0 1a + 0 = a + -4b + 4b 1a = a + -4b + 4b Combine like terms: -4b + 4b = 0 1a = a + 0 1a = a Solving 1a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1a + -1a = a + -1a Combine like terms: 1a + -1a = 0 0 = a + -1a Combine like terms: a + -1a = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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