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Simplifying [5a + 9] = [6a + -1] Reorder the terms: [9 + 5a] = [6a + -1] Remove brackets around [9 + 5a] 9 + 5a = [6a + -1] Reorder the terms: 9 + 5a = [-1 + 6a] Remove brackets around [-1 + 6a] 9 + 5a = -1 + 6a Solving 9 + 5a = -1 + 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. 9 + 5a + -6a = -1 + 6a + -6a Combine like terms: 5a + -6a = -1a 9 + -1a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -1a = -1 + 0 9 + -1a = -1 Add '-9' to each side of the equation. 9 + -9 + -1a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = -1 + -9 -1a = -1 + -9 Combine like terms: -1 + -9 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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