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Simplifying [5a + 8] = [6a + -6] Reorder the terms: [8 + 5a] = [6a + -6] Remove brackets around [8 + 5a] 8 + 5a = [6a + -6] Reorder the terms: 8 + 5a = [-6 + 6a] Remove brackets around [-6 + 6a] 8 + 5a = -6 + 6a Solving 8 + 5a = -6 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + 5a + -6a = -6 + 6a + -6a Combine like terms: 5a + -6a = -1a 8 + -1a = -6 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -1a = -6 + 0 8 + -1a = -6 Add '-8' to each side of the equation. 8 + -8 + -1a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -6 + -8 -1a = -6 + -8 Combine like terms: -6 + -8 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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