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Simplifying 3(1 + 4a) + -2(5a + -3) = 25 (1 * 3 + 4a * 3) + -2(5a + -3) = 25 (3 + 12a) + -2(5a + -3) = 25 Reorder the terms: 3 + 12a + -2(-3 + 5a) = 25 3 + 12a + (-3 * -2 + 5a * -2) = 25 3 + 12a + (6 + -10a) = 25 Reorder the terms: 3 + 6 + 12a + -10a = 25 Combine like terms: 3 + 6 = 9 9 + 12a + -10a = 25 Combine like terms: 12a + -10a = 2a 9 + 2a = 25 Solving 9 + 2a = 25 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2a = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 25 + -9 2a = 25 + -9 Combine like terms: 25 + -9 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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