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Simplifying 7a + -4 = 5a + 9 Reorder the terms: -4 + 7a = 5a + 9 Reorder the terms: -4 + 7a = 9 + 5a Solving -4 + 7a = 9 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 7a + -5a = 9 + 5a + -5a Combine like terms: 7a + -5a = 2a -4 + 2a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 2a = 9 + 0 -4 + 2a = 9 Add '4' to each side of the equation. -4 + 4 + 2a = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 9 + 4 2a = 9 + 4 Combine like terms: 9 + 4 = 13 2a = 13 Divide each side by '2'. a = 6.5 Simplifying a = 6.5
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