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Simplifying 6(a + 3) = 4[a + -1(7 + -1a)] Reorder the terms: 6(3 + a) = 4[a + -1(7 + -1a)] (3 * 6 + a * 6) = 4[a + -1(7 + -1a)] (18 + 6a) = 4[a + -1(7 + -1a)] 18 + 6a = 4[a + (7 * -1 + -1a * -1)] 18 + 6a = 4[a + (-7 + 1a)] Reorder the terms: 18 + 6a = 4[-7 + a + 1a] Combine like terms: a + 1a = 2a 18 + 6a = 4[-7 + 2a] 18 + 6a = [-7 * 4 + 2a * 4] 18 + 6a = [-28 + 8a] Solving 18 + 6a = -28 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 18 + 6a + -8a = -28 + 8a + -8a Combine like terms: 6a + -8a = -2a 18 + -2a = -28 + 8a + -8a Combine like terms: 8a + -8a = 0 18 + -2a = -28 + 0 18 + -2a = -28 Add '-18' to each side of the equation. 18 + -18 + -2a = -28 + -18 Combine like terms: 18 + -18 = 0 0 + -2a = -28 + -18 -2a = -28 + -18 Combine like terms: -28 + -18 = -46 -2a = -46 Divide each side by '-2'. a = 23 Simplifying a = 23
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