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Simplifying a + (a + -1) + 2(a + 1) = 49 Reorder the terms: a + (-1 + a) + 2(a + 1) = 49 Remove parenthesis around (-1 + a) a + -1 + a + 2(a + 1) = 49 Reorder the terms: a + -1 + a + 2(1 + a) = 49 a + -1 + a + (1 * 2 + a * 2) = 49 a + -1 + a + (2 + 2a) = 49 Reorder the terms: -1 + 2 + a + a + 2a = 49 Combine like terms: -1 + 2 = 1 1 + a + a + 2a = 49 Combine like terms: a + a = 2a 1 + 2a + 2a = 49 Combine like terms: 2a + 2a = 4a 1 + 4a = 49 Solving 1 + 4a = 49 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4a = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 49 + -1 4a = 49 + -1 Combine like terms: 49 + -1 = 48 4a = 48 Divide each side by '4'. a = 12 Simplifying a = 12
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