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Simplifying (7a + -6b + 9) + -1(2a + 3b + -8) = 0 Reorder the terms: (9 + 7a + -6b) + -1(2a + 3b + -8) = 0 Remove parenthesis around (9 + 7a + -6b) 9 + 7a + -6b + -1(2a + 3b + -8) = 0 Reorder the terms: 9 + 7a + -6b + -1(-8 + 2a + 3b) = 0 9 + 7a + -6b + (-8 * -1 + 2a * -1 + 3b * -1) = 0 9 + 7a + -6b + (8 + -2a + -3b) = 0 Reorder the terms: 9 + 8 + 7a + -2a + -6b + -3b = 0 Combine like terms: 9 + 8 = 17 17 + 7a + -2a + -6b + -3b = 0 Combine like terms: 7a + -2a = 5a 17 + 5a + -6b + -3b = 0 Combine like terms: -6b + -3b = -9b 17 + 5a + -9b = 0 Solving 17 + 5a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 5a + -17 + -9b = 0 + -17 Reorder the terms: 17 + -17 + 5a + -9b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5a + -9b = 0 + -17 5a + -9b = 0 + -17 Combine like terms: 0 + -17 = -17 5a + -9b = -17 Add '9b' to each side of the equation. 5a + -9b + 9b = -17 + 9b Combine like terms: -9b + 9b = 0 5a + 0 = -17 + 9b 5a = -17 + 9b Divide each side by '5'. a = -3.4 + 1.8b Simplifying a = -3.4 + 1.8b
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