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Simplifying 8a = 5(2a + -1[8a + (2a + -3)]) + 7 Reorder the terms: 8a = 5(2a + -1[8a + (-3 + 2a)]) + 7 Remove parenthesis around (-3 + 2a) 8a = 5(2a + -1[8a + -3 + 2a]) + 7 Reorder the terms: 8a = 5(2a + -1[-3 + 8a + 2a]) + 7 Combine like terms: 8a + 2a = 10a 8a = 5(2a + -1[-3 + 10a]) + 7 8a = 5(2a + [-3 * -1 + 10a * -1]) + 7 8a = 5(2a + [3 + -10a]) + 7 Reorder the terms: 8a = 5(3 + 2a + -10a) + 7 Combine like terms: 2a + -10a = -8a 8a = 5(3 + -8a) + 7 8a = (3 * 5 + -8a * 5) + 7 8a = (15 + -40a) + 7 Reorder the terms: 8a = 15 + 7 + -40a Combine like terms: 15 + 7 = 22 8a = 22 + -40a Solving 8a = 22 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. 8a + 40a = 22 + -40a + 40a Combine like terms: 8a + 40a = 48a 48a = 22 + -40a + 40a Combine like terms: -40a + 40a = 0 48a = 22 + 0 48a = 22 Divide each side by '48'. a = 0.4583333333 Simplifying a = 0.4583333333
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