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