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Simplifying 3[4 + -2(a + -2)] = 3(2 + -4a) Reorder the terms: 3[4 + -2(-2 + a)] = 3(2 + -4a) 3[4 + (-2 * -2 + a * -2)] = 3(2 + -4a) 3[4 + (4 + -2a)] = 3(2 + -4a) Combine like terms: 4 + 4 = 8 3[8 + -2a] = 3(2 + -4a) [8 * 3 + -2a * 3] = 3(2 + -4a) [24 + -6a] = 3(2 + -4a) 24 + -6a = (2 * 3 + -4a * 3) 24 + -6a = (6 + -12a) Solving 24 + -6a = 6 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 24 + -6a + 12a = 6 + -12a + 12a Combine like terms: -6a + 12a = 6a 24 + 6a = 6 + -12a + 12a Combine like terms: -12a + 12a = 0 24 + 6a = 6 + 0 24 + 6a = 6 Add '-24' to each side of the equation. 24 + -24 + 6a = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6a = 6 + -24 6a = 6 + -24 Combine like terms: 6 + -24 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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