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Simplifying 5a + 23 + -11a + -16 = 23 Reorder the terms: 23 + -16 + 5a + -11a = 23 Combine like terms: 23 + -16 = 7 7 + 5a + -11a = 23 Combine like terms: 5a + -11a = -6a 7 + -6a = 23 Solving 7 + -6a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6a = 23 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = 23 + -7 -6a = 23 + -7 Combine like terms: 23 + -7 = 16 -6a = 16 Divide each side by '-6'. a = -2.666666667 Simplifying a = -2.666666667
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