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Simplifying -1[5 + -1(a + 1)] = 9 + -1[2a + -3] Reorder the terms: -1[5 + -1(1 + a)] = 9 + -1[2a + -3] -1[5 + (1 * -1 + a * -1)] = 9 + -1[2a + -3] -1[5 + (-1 + -1a)] = 9 + -1[2a + -3] Combine like terms: 5 + -1 = 4 -1[4 + -1a] = 9 + -1[2a + -3] [4 * -1 + -1a * -1] = 9 + -1[2a + -3] [-4 + 1a] = 9 + -1[2a + -3] Reorder the terms: -4 + 1a = 9 + -1[-3 + 2a] -4 + 1a = 9 + [-3 * -1 + 2a * -1] -4 + 1a = 9 + [3 + -2a] Combine like terms: 9 + 3 = 12 -4 + 1a = 12 + -2a Solving -4 + 1a = 12 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -4 + 1a + 2a = 12 + -2a + 2a Combine like terms: 1a + 2a = 3a -4 + 3a = 12 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 3a = 12 + 0 -4 + 3a = 12 Add '4' to each side of the equation. -4 + 4 + 3a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 12 + 4 3a = 12 + 4 Combine like terms: 12 + 4 = 16 3a = 16 Divide each side by '3'. a = 5.333333333 Simplifying a = 5.333333333
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