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Simplifying 8a + 3 + -4a + 2 = 9a + -11 + a Reorder the terms: 3 + 2 + 8a + -4a = 9a + -11 + a Combine like terms: 3 + 2 = 5 5 + 8a + -4a = 9a + -11 + a Combine like terms: 8a + -4a = 4a 5 + 4a = 9a + -11 + a Reorder the terms: 5 + 4a = -11 + 9a + a Combine like terms: 9a + a = 10a 5 + 4a = -11 + 10a Solving 5 + 4a = -11 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 4a + -10a = -11 + 10a + -10a Combine like terms: 4a + -10a = -6a 5 + -6a = -11 + 10a + -10a Combine like terms: 10a + -10a = 0 5 + -6a = -11 + 0 5 + -6a = -11 Add '-5' to each side of the equation. 5 + -5 + -6a = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = -11 + -5 -6a = -11 + -5 Combine like terms: -11 + -5 = -16 -6a = -16 Divide each side by '-6'. a = 2.666666667 Simplifying a = 2.666666667
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