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Simplifying a + (a + -2) = (9 + 3) + -1(a + 1) Reorder the terms: a + (-2 + a) = (9 + 3) + -1(a + 1) Remove parenthesis around (-2 + a) a + -2 + a = (9 + 3) + -1(a + 1) Reorder the terms: -2 + a + a = (9 + 3) + -1(a + 1) Combine like terms: a + a = 2a -2 + 2a = (9 + 3) + -1(a + 1) Combine like terms: 9 + 3 = 12 -2 + 2a = (12) + -1(a + 1) -2 + 2a = 12 + -1(a + 1) Reorder the terms: -2 + 2a = 12 + -1(1 + a) -2 + 2a = 12 + (1 * -1 + a * -1) -2 + 2a = 12 + (-1 + -1a) Combine like terms: 12 + -1 = 11 -2 + 2a = 11 + -1a Solving -2 + 2a = 11 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -2 + 2a + a = 11 + -1a + a Combine like terms: 2a + a = 3a -2 + 3a = 11 + -1a + a Combine like terms: -1a + a = 0 -2 + 3a = 11 + 0 -2 + 3a = 11 Add '2' to each side of the equation. -2 + 2 + 3a = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 11 + 2 3a = 11 + 2 Combine like terms: 11 + 2 = 13 3a = 13 Divide each side by '3'. a = 4.333333333 Simplifying a = 4.333333333
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