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Simplifying (7a + -3b + 2) + (4b + -2a + -1) = 0 Reorder the terms: (2 + 7a + -3b) + (4b + -2a + -1) = 0 Remove parenthesis around (2 + 7a + -3b) 2 + 7a + -3b + (4b + -2a + -1) = 0 Reorder the terms: 2 + 7a + -3b + (-1 + -2a + 4b) = 0 Remove parenthesis around (-1 + -2a + 4b) 2 + 7a + -3b + -1 + -2a + 4b = 0 Reorder the terms: 2 + -1 + 7a + -2a + -3b + 4b = 0 Combine like terms: 2 + -1 = 1 1 + 7a + -2a + -3b + 4b = 0 Combine like terms: 7a + -2a = 5a 1 + 5a + -3b + 4b = 0 Combine like terms: -3b + 4b = 1b 1 + 5a + 1b = 0 Solving 1 + 5a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5a + -1 + 1b = 0 + -1 Reorder the terms: 1 + -1 + 5a + 1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + 1b = 0 + -1 5a + 1b = 0 + -1 Combine like terms: 0 + -1 = -1 5a + 1b = -1 Add '-1b' to each side of the equation. 5a + 1b + -1b = -1 + -1b Combine like terms: 1b + -1b = 0 5a + 0 = -1 + -1b 5a = -1 + -1b Divide each side by '5'. a = -0.2 + -0.2b Simplifying a = -0.2 + -0.2b
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