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Simplifying -5a + 24 + 2a = 7a + -4a Reorder the terms: 24 + -5a + 2a = 7a + -4a Combine like terms: -5a + 2a = -3a 24 + -3a = 7a + -4a Combine like terms: 7a + -4a = 3a 24 + -3a = 3a Solving 24 + -3a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 24 + -3a + -3a = 3a + -3a Combine like terms: -3a + -3a = -6a 24 + -6a = 3a + -3a Combine like terms: 3a + -3a = 0 24 + -6a = 0 Add '-24' to each side of the equation. 24 + -24 + -6a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6a = 0 + -24 -6a = 0 + -24 Combine like terms: 0 + -24 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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