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Simplifying 250 = 2(6a + 8) + 12a + (10a + -4) Reorder the terms: 250 = 2(8 + 6a) + 12a + (10a + -4) 250 = (8 * 2 + 6a * 2) + 12a + (10a + -4) 250 = (16 + 12a) + 12a + (10a + -4) Reorder the terms: 250 = 16 + 12a + 12a + (-4 + 10a) Remove parenthesis around (-4 + 10a) 250 = 16 + 12a + 12a + -4 + 10a Reorder the terms: 250 = 16 + -4 + 12a + 12a + 10a Combine like terms: 16 + -4 = 12 250 = 12 + 12a + 12a + 10a Combine like terms: 12a + 12a = 24a 250 = 12 + 24a + 10a Combine like terms: 24a + 10a = 34a 250 = 12 + 34a Solving 250 = 12 + 34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34a' to each side of the equation. 250 + -34a = 12 + 34a + -34a Combine like terms: 34a + -34a = 0 250 + -34a = 12 + 0 250 + -34a = 12 Add '-250' to each side of the equation. 250 + -250 + -34a = 12 + -250 Combine like terms: 250 + -250 = 0 0 + -34a = 12 + -250 -34a = 12 + -250 Combine like terms: 12 + -250 = -238 -34a = -238 Divide each side by '-34'. a = 7 Simplifying a = 7
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