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Simplifying 8a + -1(3a + -4) = 11 + 2a Reorder the terms: 8a + -1(-4 + 3a) = 11 + 2a 8a + (-4 * -1 + 3a * -1) = 11 + 2a 8a + (4 + -3a) = 11 + 2a Reorder the terms: 4 + 8a + -3a = 11 + 2a Combine like terms: 8a + -3a = 5a 4 + 5a = 11 + 2a Solving 4 + 5a = 11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + 5a + -2a = 11 + 2a + -2a Combine like terms: 5a + -2a = 3a 4 + 3a = 11 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + 3a = 11 + 0 4 + 3a = 11 Add '-4' to each side of the equation. 4 + -4 + 3a = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 11 + -4 3a = 11 + -4 Combine like terms: 11 + -4 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333
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