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Simplifying 9 + 5a + -1a = 1 + 6a + -2 Combine like terms: 5a + -1a = 4a 9 + 4a = 1 + 6a + -2 Reorder the terms: 9 + 4a = 1 + -2 + 6a Combine like terms: 1 + -2 = -1 9 + 4a = -1 + 6a Solving 9 + 4a = -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 + 4a + -6a = -1 + 6a + -6a Combine like terms: 4a + -6a = -2a 9 + -2a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -2a = -1 + 0 9 + -2a = -1 Add '-9' to each side of the equation. 9 + -9 + -2a = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = -1 + -9 -2a = -1 + -9 Combine like terms: -1 + -9 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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