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Simplifying 9a + -6 = 3a + 4 + 4a Reorder the terms: -6 + 9a = 3a + 4 + 4a Reorder the terms: -6 + 9a = 4 + 3a + 4a Combine like terms: 3a + 4a = 7a -6 + 9a = 4 + 7a Solving -6 + 9a = 4 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -6 + 9a + -7a = 4 + 7a + -7a Combine like terms: 9a + -7a = 2a -6 + 2a = 4 + 7a + -7a Combine like terms: 7a + -7a = 0 -6 + 2a = 4 + 0 -6 + 2a = 4 Add '6' to each side of the equation. -6 + 6 + 2a = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = 4 + 6 2a = 4 + 6 Combine like terms: 4 + 6 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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