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Simplifying 3(8 + a) + -3(7a + -5) = 3 (8 * 3 + a * 3) + -3(7a + -5) = 3 (24 + 3a) + -3(7a + -5) = 3 Reorder the terms: 24 + 3a + -3(-5 + 7a) = 3 24 + 3a + (-5 * -3 + 7a * -3) = 3 24 + 3a + (15 + -21a) = 3 Reorder the terms: 24 + 15 + 3a + -21a = 3 Combine like terms: 24 + 15 = 39 39 + 3a + -21a = 3 Combine like terms: 3a + -21a = -18a 39 + -18a = 3 Solving 39 + -18a = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -18a = 3 + -39 Combine like terms: 39 + -39 = 0 0 + -18a = 3 + -39 -18a = 3 + -39 Combine like terms: 3 + -39 = -36 -18a = -36 Divide each side by '-18'. a = 2 Simplifying a = 2
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