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Simplifying (4a + -3b + 1) + (6a + -5b + -2) = 0 Reorder the terms: (1 + 4a + -3b) + (6a + -5b + -2) = 0 Remove parenthesis around (1 + 4a + -3b) 1 + 4a + -3b + (6a + -5b + -2) = 0 Reorder the terms: 1 + 4a + -3b + (-2 + 6a + -5b) = 0 Remove parenthesis around (-2 + 6a + -5b) 1 + 4a + -3b + -2 + 6a + -5b = 0 Reorder the terms: 1 + -2 + 4a + 6a + -3b + -5b = 0 Combine like terms: 1 + -2 = -1 -1 + 4a + 6a + -3b + -5b = 0 Combine like terms: 4a + 6a = 10a -1 + 10a + -3b + -5b = 0 Combine like terms: -3b + -5b = -8b -1 + 10a + -8b = 0 Solving -1 + 10a + -8b = 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 + 10a + 1 + -8b = 0 + 1 Reorder the terms: -1 + 1 + 10a + -8b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10a + -8b = 0 + 1 10a + -8b = 0 + 1 Combine like terms: 0 + 1 = 1 10a + -8b = 1 Add '8b' to each side of the equation. 10a + -8b + 8b = 1 + 8b Combine like terms: -8b + 8b = 0 10a + 0 = 1 + 8b 10a = 1 + 8b Divide each side by '10'. a = 0.1 + 0.8b Simplifying a = 0.1 + 0.8b
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