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Simplifying 8(a + 3) = 2[2a + -1(6 + -1a)] Reorder the terms: 8(3 + a) = 2[2a + -1(6 + -1a)] (3 * 8 + a * 8) = 2[2a + -1(6 + -1a)] (24 + 8a) = 2[2a + -1(6 + -1a)] 24 + 8a = 2[2a + (6 * -1 + -1a * -1)] 24 + 8a = 2[2a + (-6 + 1a)] Reorder the terms: 24 + 8a = 2[-6 + 2a + 1a] Combine like terms: 2a + 1a = 3a 24 + 8a = 2[-6 + 3a] 24 + 8a = [-6 * 2 + 3a * 2] 24 + 8a = [-12 + 6a] Solving 24 + 8a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 24 + 8a + -6a = -12 + 6a + -6a Combine like terms: 8a + -6a = 2a 24 + 2a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 24 + 2a = -12 + 0 24 + 2a = -12 Add '-24' to each side of the equation. 24 + -24 + 2a = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = -12 + -24 2a = -12 + -24 Combine like terms: -12 + -24 = -36 2a = -36 Divide each side by '2'. a = -18 Simplifying a = -18
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