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Simplifying 3(a + 4) = 6[2a + -1(2 + -1a)] Reorder the terms: 3(4 + a) = 6[2a + -1(2 + -1a)] (4 * 3 + a * 3) = 6[2a + -1(2 + -1a)] (12 + 3a) = 6[2a + -1(2 + -1a)] 12 + 3a = 6[2a + (2 * -1 + -1a * -1)] 12 + 3a = 6[2a + (-2 + 1a)] Reorder the terms: 12 + 3a = 6[-2 + 2a + 1a] Combine like terms: 2a + 1a = 3a 12 + 3a = 6[-2 + 3a] 12 + 3a = [-2 * 6 + 3a * 6] 12 + 3a = [-12 + 18a] Solving 12 + 3a = -12 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 12 + 3a + -18a = -12 + 18a + -18a Combine like terms: 3a + -18a = -15a 12 + -15a = -12 + 18a + -18a Combine like terms: 18a + -18a = 0 12 + -15a = -12 + 0 12 + -15a = -12 Add '-12' to each side of the equation. 12 + -12 + -15a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -15a = -12 + -12 -15a = -12 + -12 Combine like terms: -12 + -12 = -24 -15a = -24 Divide each side by '-15'. a = 1.6 Simplifying a = 1.6
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