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Simplifying 3(a + 8) = 9[a + -1(6 + -1a)] Reorder the terms: 3(8 + a) = 9[a + -1(6 + -1a)] (8 * 3 + a * 3) = 9[a + -1(6 + -1a)] (24 + 3a) = 9[a + -1(6 + -1a)] 24 + 3a = 9[a + (6 * -1 + -1a * -1)] 24 + 3a = 9[a + (-6 + 1a)] Reorder the terms: 24 + 3a = 9[-6 + a + 1a] Combine like terms: a + 1a = 2a 24 + 3a = 9[-6 + 2a] 24 + 3a = [-6 * 9 + 2a * 9] 24 + 3a = [-54 + 18a] Solving 24 + 3a = -54 + 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. 24 + 3a + -18a = -54 + 18a + -18a Combine like terms: 3a + -18a = -15a 24 + -15a = -54 + 18a + -18a Combine like terms: 18a + -18a = 0 24 + -15a = -54 + 0 24 + -15a = -54 Add '-24' to each side of the equation. 24 + -24 + -15a = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -15a = -54 + -24 -15a = -54 + -24 Combine like terms: -54 + -24 = -78 -15a = -78 Divide each side by '-15'. a = 5.2 Simplifying a = 5.2
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