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Simplifying 4[a + -1(3a + -4)] = a + 5 Reorder the terms: 4[a + -1(-4 + 3a)] = a + 5 4[a + (-4 * -1 + 3a * -1)] = a + 5 4[a + (4 + -3a)] = a + 5 Reorder the terms: 4[4 + a + -3a] = a + 5 Combine like terms: a + -3a = -2a 4[4 + -2a] = a + 5 [4 * 4 + -2a * 4] = a + 5 [16 + -8a] = a + 5 Reorder the terms: 16 + -8a = 5 + a Solving 16 + -8a = 5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 16 + -8a + -1a = 5 + a + -1a Combine like terms: -8a + -1a = -9a 16 + -9a = 5 + a + -1a Combine like terms: a + -1a = 0 16 + -9a = 5 + 0 16 + -9a = 5 Add '-16' to each side of the equation. 16 + -16 + -9a = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -9a = 5 + -16 -9a = 5 + -16 Combine like terms: 5 + -16 = -11 -9a = -11 Divide each side by '-9'. a = 1.222222222 Simplifying a = 1.222222222
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