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