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Simplifying a + (9 + 4) = (a + 5) + -1(a + 1) Combine like terms: 9 + 4 = 13 a + (13) = (a + 5) + -1(a + 1) a + 13 = (a + 5) + -1(a + 1) Reorder the terms: 13 + a = (a + 5) + -1(a + 1) Reorder the terms: 13 + a = (5 + a) + -1(a + 1) Remove parenthesis around (5 + a) 13 + a = 5 + a + -1(a + 1) Reorder the terms: 13 + a = 5 + a + -1(1 + a) 13 + a = 5 + a + (1 * -1 + a * -1) 13 + a = 5 + a + (-1 + -1a) Reorder the terms: 13 + a = 5 + -1 + a + -1a Combine like terms: 5 + -1 = 4 13 + a = 4 + a + -1a Combine like terms: a + -1a = 0 13 + a = 4 + 0 13 + a = 4 Solving 13 + a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + a = 4 + -13 Combine like terms: 13 + -13 = 0 0 + a = 4 + -13 a = 4 + -13 Combine like terms: 4 + -13 = -9 a = -9 Simplifying a = -9
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