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Simplifying (5a + -3) + -1(8a + -6) = -11 Reorder the terms: (-3 + 5a) + -1(8a + -6) = -11 Remove parenthesis around (-3 + 5a) -3 + 5a + -1(8a + -6) = -11 Reorder the terms: -3 + 5a + -1(-6 + 8a) = -11 -3 + 5a + (-6 * -1 + 8a * -1) = -11 -3 + 5a + (6 + -8a) = -11 Reorder the terms: -3 + 6 + 5a + -8a = -11 Combine like terms: -3 + 6 = 3 3 + 5a + -8a = -11 Combine like terms: 5a + -8a = -3a 3 + -3a = -11 Solving 3 + -3a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3a = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = -11 + -3 -3a = -11 + -3 Combine like terms: -11 + -3 = -14 -3a = -14 Divide each side by '-3'. a = 4.666666667 Simplifying a = 4.666666667
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