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