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Simplifying 9(a + 1) = 3[a + -1(4 + -1a)] Reorder the terms: 9(1 + a) = 3[a + -1(4 + -1a)] (1 * 9 + a * 9) = 3[a + -1(4 + -1a)] (9 + 9a) = 3[a + -1(4 + -1a)] 9 + 9a = 3[a + (4 * -1 + -1a * -1)] 9 + 9a = 3[a + (-4 + 1a)] Reorder the terms: 9 + 9a = 3[-4 + a + 1a] Combine like terms: a + 1a = 2a 9 + 9a = 3[-4 + 2a] 9 + 9a = [-4 * 3 + 2a * 3] 9 + 9a = [-12 + 6a] Solving 9 + 9a = -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. 9 + 9a + -6a = -12 + 6a + -6a Combine like terms: 9a + -6a = 3a 9 + 3a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + 3a = -12 + 0 9 + 3a = -12 Add '-9' to each side of the equation. 9 + -9 + 3a = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = -12 + -9 3a = -12 + -9 Combine like terms: -12 + -9 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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