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Simplifying -9(5a + -8) + (9q + -6) = 0 Reorder the terms: -9(-8 + 5a) + (9q + -6) = 0 (-8 * -9 + 5a * -9) + (9q + -6) = 0 (72 + -45a) + (9q + -6) = 0 Reorder the terms: 72 + -45a + (-6 + 9q) = 0 Remove parenthesis around (-6 + 9q) 72 + -45a + -6 + 9q = 0 Reorder the terms: 72 + -6 + -45a + 9q = 0 Combine like terms: 72 + -6 = 66 66 + -45a + 9q = 0 Solving 66 + -45a + 9q = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -45a + -66 + 9q = 0 + -66 Reorder the terms: 66 + -66 + -45a + 9q = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -45a + 9q = 0 + -66 -45a + 9q = 0 + -66 Combine like terms: 0 + -66 = -66 -45a + 9q = -66 Add '-9q' to each side of the equation. -45a + 9q + -9q = -66 + -9q Combine like terms: 9q + -9q = 0 -45a + 0 = -66 + -9q -45a = -66 + -9q Divide each side by '-45'. a = 1.466666667 + 0.2q Simplifying a = 1.466666667 + 0.2q
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