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Simplifying 9q + -14 + 3(a + -11) = 23 Reorder the terms: 9q + -14 + 3(-11 + a) = 23 9q + -14 + (-11 * 3 + a * 3) = 23 9q + -14 + (-33 + 3a) = 23 Reorder the terms: -14 + -33 + 3a + 9q = 23 Combine like terms: -14 + -33 = -47 -47 + 3a + 9q = 23 Solving -47 + 3a + 9q = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 3a + 47 + 9q = 23 + 47 Reorder the terms: -47 + 47 + 3a + 9q = 23 + 47 Combine like terms: -47 + 47 = 0 0 + 3a + 9q = 23 + 47 3a + 9q = 23 + 47 Combine like terms: 23 + 47 = 70 3a + 9q = 70 Add '-9q' to each side of the equation. 3a + 9q + -9q = 70 + -9q Combine like terms: 9q + -9q = 0 3a + 0 = 70 + -9q 3a = 70 + -9q Divide each side by '3'. a = 23.33333333 + -3q Simplifying a = 23.33333333 + -3q
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