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