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Simplifying 3(1 + a) + -2(3a + 8) = 3a (1 * 3 + a * 3) + -2(3a + 8) = 3a (3 + 3a) + -2(3a + 8) = 3a Reorder the terms: 3 + 3a + -2(8 + 3a) = 3a 3 + 3a + (8 * -2 + 3a * -2) = 3a 3 + 3a + (-16 + -6a) = 3a Reorder the terms: 3 + -16 + 3a + -6a = 3a Combine like terms: 3 + -16 = -13 -13 + 3a + -6a = 3a Combine like terms: 3a + -6a = -3a -13 + -3a = 3a Solving -13 + -3a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -13 + -3a + -3a = 3a + -3a Combine like terms: -3a + -3a = -6a -13 + -6a = 3a + -3a Combine like terms: 3a + -3a = 0 -13 + -6a = 0 Add '13' to each side of the equation. -13 + 13 + -6a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6a = 0 + 13 -6a = 0 + 13 Combine like terms: 0 + 13 = 13 -6a = 13 Divide each side by '-6'. a = -2.166666667 Simplifying a = -2.166666667
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