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Simplifying a + [a + -2] = [a + 5] + -1[a + 3] Reorder the terms: a + [-2 + a] = [a + 5] + -1[a + 3] Remove brackets around [-2 + a] a + -2 + a = [a + 5] + -1[a + 3] Reorder the terms: -2 + a + a = [a + 5] + -1[a + 3] Combine like terms: a + a = 2a -2 + 2a = [a + 5] + -1[a + 3] Reorder the terms: -2 + 2a = [5 + a] + -1[a + 3] Remove brackets around [5 + a] -2 + 2a = 5 + a + -1[a + 3] Reorder the terms: -2 + 2a = 5 + a + -1[3 + a] -2 + 2a = 5 + a + [3 * -1 + a * -1] -2 + 2a = 5 + a + [-3 + -1a] Reorder the terms: -2 + 2a = 5 + -3 + a + -1a Combine like terms: 5 + -3 = 2 -2 + 2a = 2 + a + -1a Combine like terms: a + -1a = 0 -2 + 2a = 2 + 0 -2 + 2a = 2 Solving -2 + 2a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 2 + 2 2a = 2 + 2 Combine like terms: 2 + 2 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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