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Simplifying (8a + -7b + 9) + -1(-5a + 2b + -5) = 0 Reorder the terms: (9 + 8a + -7b) + -1(-5a + 2b + -5) = 0 Remove parenthesis around (9 + 8a + -7b) 9 + 8a + -7b + -1(-5a + 2b + -5) = 0 Reorder the terms: 9 + 8a + -7b + -1(-5 + -5a + 2b) = 0 9 + 8a + -7b + (-5 * -1 + -5a * -1 + 2b * -1) = 0 9 + 8a + -7b + (5 + 5a + -2b) = 0 Reorder the terms: 9 + 5 + 8a + 5a + -7b + -2b = 0 Combine like terms: 9 + 5 = 14 14 + 8a + 5a + -7b + -2b = 0 Combine like terms: 8a + 5a = 13a 14 + 13a + -7b + -2b = 0 Combine like terms: -7b + -2b = -9b 14 + 13a + -9b = 0 Solving 14 + 13a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 13a + -14 + -9b = 0 + -14 Reorder the terms: 14 + -14 + 13a + -9b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13a + -9b = 0 + -14 13a + -9b = 0 + -14 Combine like terms: 0 + -14 = -14 13a + -9b = -14 Add '9b' to each side of the equation. 13a + -9b + 9b = -14 + 9b Combine like terms: -9b + 9b = 0 13a + 0 = -14 + 9b 13a = -14 + 9b Divide each side by '13'. a = -1.076923077 + 0.6923076923b Simplifying a = -1.076923077 + 0.6923076923b
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