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Simplifying a + (a + -3) = (a + 5) + -1(a + 2) Reorder the terms: a + (-3 + a) = (a + 5) + -1(a + 2) Remove parenthesis around (-3 + a) a + -3 + a = (a + 5) + -1(a + 2) Reorder the terms: -3 + a + a = (a + 5) + -1(a + 2) Combine like terms: a + a = 2a -3 + 2a = (a + 5) + -1(a + 2) Reorder the terms: -3 + 2a = (5 + a) + -1(a + 2) Remove parenthesis around (5 + a) -3 + 2a = 5 + a + -1(a + 2) Reorder the terms: -3 + 2a = 5 + a + -1(2 + a) -3 + 2a = 5 + a + (2 * -1 + a * -1) -3 + 2a = 5 + a + (-2 + -1a) Reorder the terms: -3 + 2a = 5 + -2 + a + -1a Combine like terms: 5 + -2 = 3 -3 + 2a = 3 + a + -1a Combine like terms: a + -1a = 0 -3 + 2a = 3 + 0 -3 + 2a = 3 Solving -3 + 2a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 3 + 3 2a = 3 + 3 Combine like terms: 3 + 3 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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