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Simplifying 7a + -21 = 5a + 9 Reorder the terms: -21 + 7a = 5a + 9 Reorder the terms: -21 + 7a = 9 + 5a Solving -21 + 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. -21 + 7a + -5a = 9 + 5a + -5a Combine like terms: 7a + -5a = 2a -21 + 2a = 9 + 5a + -5a Combine like terms: 5a + -5a = 0 -21 + 2a = 9 + 0 -21 + 2a = 9 Add '21' to each side of the equation. -21 + 21 + 2a = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = 9 + 21 2a = 9 + 21 Combine like terms: 9 + 21 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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