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Simplifying (3a + 9b + -2) + -1(-5a + 6b) = 0 Reorder the terms: (-2 + 3a + 9b) + -1(-5a + 6b) = 0 Remove parenthesis around (-2 + 3a + 9b) -2 + 3a + 9b + -1(-5a + 6b) = 0 -2 + 3a + 9b + (-5a * -1 + 6b * -1) = 0 -2 + 3a + 9b + (5a + -6b) = 0 Reorder the terms: -2 + 3a + 5a + 9b + -6b = 0 Combine like terms: 3a + 5a = 8a -2 + 8a + 9b + -6b = 0 Combine like terms: 9b + -6b = 3b -2 + 8a + 3b = 0 Solving -2 + 8a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8a + 2 + 3b = 0 + 2 Reorder the terms: -2 + 2 + 8a + 3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8a + 3b = 0 + 2 8a + 3b = 0 + 2 Combine like terms: 0 + 2 = 2 8a + 3b = 2 Add '-3b' to each side of the equation. 8a + 3b + -3b = 2 + -3b Combine like terms: 3b + -3b = 0 8a + 0 = 2 + -3b 8a = 2 + -3b Divide each side by '8'. a = 0.25 + -0.375b Simplifying a = 0.25 + -0.375b
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