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Simplifying [2a + 3] = [3a + -5] Reorder the terms: [3 + 2a] = [3a + -5] Remove brackets around [3 + 2a] 3 + 2a = [3a + -5] Reorder the terms: 3 + 2a = [-5 + 3a] Remove brackets around [-5 + 3a] 3 + 2a = -5 + 3a Solving 3 + 2a = -5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 3 + 2a + -3a = -5 + 3a + -3a Combine like terms: 2a + -3a = -1a 3 + -1a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + -1a = -5 + 0 3 + -1a = -5 Add '-3' to each side of the equation. 3 + -3 + -1a = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = -5 + -3 -1a = -5 + -3 Combine like terms: -5 + -3 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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