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Simplifying 5a + -3(a + -8) = 40 Reorder the terms: 5a + -3(-8 + a) = 40 5a + (-8 * -3 + a * -3) = 40 5a + (24 + -3a) = 40 Reorder the terms: 24 + 5a + -3a = 40 Combine like terms: 5a + -3a = 2a 24 + 2a = 40 Solving 24 + 2a = 40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2a = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 40 + -24 2a = 40 + -24 Combine like terms: 40 + -24 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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