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Simplifying -9q + -4 + -1q + 7 = 17 + -10a + -4a + 6 Reorder the terms: -4 + 7 + -9q + -1q = 17 + -10a + -4a + 6 Combine like terms: -4 + 7 = 3 3 + -9q + -1q = 17 + -10a + -4a + 6 Combine like terms: -9q + -1q = -10q 3 + -10q = 17 + -10a + -4a + 6 Reorder the terms: 3 + -10q = 17 + 6 + -10a + -4a Combine like terms: 17 + 6 = 23 3 + -10q = 23 + -10a + -4a Combine like terms: -10a + -4a = -14a 3 + -10q = 23 + -14a Solving 3 + -10q = 23 + -14a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10q = 23 + -3 + -14a Combine like terms: 3 + -3 = 0 0 + -10q = 23 + -3 + -14a -10q = 23 + -3 + -14a Combine like terms: 23 + -3 = 20 -10q = 20 + -14a Divide each side by '-10'. q = -2 + 1.4a Simplifying q = -2 + 1.4a
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