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Simplifying -2[4(-2a + -3) + -1(-3a)] = -6 + -3[-3a + -2(2a + -4)] Reorder the terms: -2[4(-3 + -2a) + -1(-3a)] = -6 + -3[-3a + -2(2a + -4)] -2[(-3 * 4 + -2a * 4) + -1(-3a)] = -6 + -3[-3a + -2(2a + -4)] -2[(-12 + -8a) + -1(-3a)] = -6 + -3[-3a + -2(2a + -4)] Remove parenthesis around (-3a) -2[-12 + -8a + -1 * -3a] = -6 + -3[-3a + -2(2a + -4)] Multiply -1 * -3 -2[-12 + -8a + 3a] = -6 + -3[-3a + -2(2a + -4)] Combine like terms: -8a + 3a = -5a -2[-12 + -5a] = -6 + -3[-3a + -2(2a + -4)] [-12 * -2 + -5a * -2] = -6 + -3[-3a + -2(2a + -4)] [24 + 10a] = -6 + -3[-3a + -2(2a + -4)] Reorder the terms: 24 + 10a = -6 + -3[-3a + -2(-4 + 2a)] 24 + 10a = -6 + -3[-3a + (-4 * -2 + 2a * -2)] 24 + 10a = -6 + -3[-3a + (8 + -4a)] Reorder the terms: 24 + 10a = -6 + -3[8 + -3a + -4a] Combine like terms: -3a + -4a = -7a 24 + 10a = -6 + -3[8 + -7a] 24 + 10a = -6 + [8 * -3 + -7a * -3] 24 + 10a = -6 + [-24 + 21a] Combine like terms: -6 + -24 = -30 24 + 10a = -30 + 21a Solving 24 + 10a = -30 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 24 + 10a + -21a = -30 + 21a + -21a Combine like terms: 10a + -21a = -11a 24 + -11a = -30 + 21a + -21a Combine like terms: 21a + -21a = 0 24 + -11a = -30 + 0 24 + -11a = -30 Add '-24' to each side of the equation. 24 + -24 + -11a = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -11a = -30 + -24 -11a = -30 + -24 Combine like terms: -30 + -24 = -54 -11a = -54 Divide each side by '-11'. a = 4.909090909 Simplifying a = 4.909090909
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