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