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Simplifying 4 + -1(a + -2) + 5a + -1 = a + 2 Reorder the terms: 4 + -1(-2 + a) + 5a + -1 = a + 2 4 + (-2 * -1 + a * -1) + 5a + -1 = a + 2 4 + (2 + -1a) + 5a + -1 = a + 2 Reorder the terms: 4 + 2 + -1 + -1a + 5a = a + 2 Combine like terms: 4 + 2 = 6 6 + -1 + -1a + 5a = a + 2 Combine like terms: 6 + -1 = 5 5 + -1a + 5a = a + 2 Combine like terms: -1a + 5a = 4a 5 + 4a = a + 2 Reorder the terms: 5 + 4a = 2 + a Solving 5 + 4a = 2 + 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. 5 + 4a + -1a = 2 + a + -1a Combine like terms: 4a + -1a = 3a 5 + 3a = 2 + a + -1a Combine like terms: a + -1a = 0 5 + 3a = 2 + 0 5 + 3a = 2 Add '-5' to each side of the equation. 5 + -5 + 3a = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 2 + -5 3a = 2 + -5 Combine like terms: 2 + -5 = -3 3a = -3 Divide each side by '3'. a = -1 Simplifying a = -1
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