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Simplifying 40 + 5a = 24 + 3a Solving 40 + 5a = 24 + 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. 40 + 5a + -3a = 24 + 3a + -3a Combine like terms: 5a + -3a = 2a 40 + 2a = 24 + 3a + -3a Combine like terms: 3a + -3a = 0 40 + 2a = 24 + 0 40 + 2a = 24 Add '-40' to each side of the equation. 40 + -40 + 2a = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 2a = 24 + -40 2a = 24 + -40 Combine like terms: 24 + -40 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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