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Simplifying 6(a + 4) = 2[a + -1(3 + -1a)] Reorder the terms: 6(4 + a) = 2[a + -1(3 + -1a)] (4 * 6 + a * 6) = 2[a + -1(3 + -1a)] (24 + 6a) = 2[a + -1(3 + -1a)] 24 + 6a = 2[a + (3 * -1 + -1a * -1)] 24 + 6a = 2[a + (-3 + 1a)] Reorder the terms: 24 + 6a = 2[-3 + a + 1a] Combine like terms: a + 1a = 2a 24 + 6a = 2[-3 + 2a] 24 + 6a = [-3 * 2 + 2a * 2] 24 + 6a = [-6 + 4a] Solving 24 + 6a = -6 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 24 + 6a + -4a = -6 + 4a + -4a Combine like terms: 6a + -4a = 2a 24 + 2a = -6 + 4a + -4a Combine like terms: 4a + -4a = 0 24 + 2a = -6 + 0 24 + 2a = -6 Add '-24' to each side of the equation. 24 + -24 + 2a = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = -6 + -24 2a = -6 + -24 Combine like terms: -6 + -24 = -30 2a = -30 Divide each side by '2'. a = -15 Simplifying a = -15
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