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Simplifying -9q + -4 + -1a + 7 = 17 + -10a + -4a + 6 Reorder the terms: -4 + 7 + -1a + -9q = 17 + -10a + -4a + 6 Combine like terms: -4 + 7 = 3 3 + -1a + -9q = 17 + -10a + -4a + 6 Reorder the terms: 3 + -1a + -9q = 17 + 6 + -10a + -4a Combine like terms: 17 + 6 = 23 3 + -1a + -9q = 23 + -10a + -4a Combine like terms: -10a + -4a = -14a 3 + -1a + -9q = 23 + -14a Solving 3 + -1a + -9q = 23 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 3 + -1a + 14a + -9q = 23 + -14a + 14a Combine like terms: -1a + 14a = 13a 3 + 13a + -9q = 23 + -14a + 14a Combine like terms: -14a + 14a = 0 3 + 13a + -9q = 23 + 0 3 + 13a + -9q = 23 Add '-3' to each side of the equation. 3 + 13a + -3 + -9q = 23 + -3 Reorder the terms: 3 + -3 + 13a + -9q = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 13a + -9q = 23 + -3 13a + -9q = 23 + -3 Combine like terms: 23 + -3 = 20 13a + -9q = 20 Add '9q' to each side of the equation. 13a + -9q + 9q = 20 + 9q Combine like terms: -9q + 9q = 0 13a + 0 = 20 + 9q 13a = 20 + 9q Divide each side by '13'. a = 1.538461538 + 0.6923076923q Simplifying a = 1.538461538 + 0.6923076923q
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