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Simplifying 9a + -14 + 3(a + -11) = 23 Reorder the terms: 9a + -14 + 3(-11 + a) = 23 9a + -14 + (-11 * 3 + a * 3) = 23 9a + -14 + (-33 + 3a) = 23 Reorder the terms: -14 + -33 + 9a + 3a = 23 Combine like terms: -14 + -33 = -47 -47 + 9a + 3a = 23 Combine like terms: 9a + 3a = 12a -47 + 12a = 23 Solving -47 + 12a = 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 + 47 + 12a = 23 + 47 Combine like terms: -47 + 47 = 0 0 + 12a = 23 + 47 12a = 23 + 47 Combine like terms: 23 + 47 = 70 12a = 70 Divide each side by '12'. a = 5.833333333 Simplifying a = 5.833333333
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