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Simplifying -1a + 6(a + 4) = 3(a + 5) + 1 Reorder the terms: -1a + 6(4 + a) = 3(a + 5) + 1 -1a + (4 * 6 + a * 6) = 3(a + 5) + 1 -1a + (24 + 6a) = 3(a + 5) + 1 Reorder the terms: 24 + -1a + 6a = 3(a + 5) + 1 Combine like terms: -1a + 6a = 5a 24 + 5a = 3(a + 5) + 1 Reorder the terms: 24 + 5a = 3(5 + a) + 1 24 + 5a = (5 * 3 + a * 3) + 1 24 + 5a = (15 + 3a) + 1 Reorder the terms: 24 + 5a = 15 + 1 + 3a Combine like terms: 15 + 1 = 16 24 + 5a = 16 + 3a Solving 24 + 5a = 16 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 24 + 5a + -3a = 16 + 3a + -3a Combine like terms: 5a + -3a = 2a 24 + 2a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 24 + 2a = 16 + 0 24 + 2a = 16 Add '-24' to each side of the equation. 24 + -24 + 2a = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 16 + -24 2a = 16 + -24 Combine like terms: 16 + -24 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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