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Simplifying 3(1 + 2a) = -11 + 8a (1 * 3 + 2a * 3) = -11 + 8a (3 + 6a) = -11 + 8a Solving 3 + 6a = -11 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 3 + 6a + -8a = -11 + 8a + -8a Combine like terms: 6a + -8a = -2a 3 + -2a = -11 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -2a = -11 + 0 3 + -2a = -11 Add '-3' to each side of the equation. 3 + -3 + -2a = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = -11 + -3 -2a = -11 + -3 Combine like terms: -11 + -3 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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