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Simplifying a = 7(8a + -1[5a + (4a + -5)]) + 3 Reorder the terms: a = 7(8a + -1[5a + (-5 + 4a)]) + 3 Remove parenthesis around (-5 + 4a) a = 7(8a + -1[5a + -5 + 4a]) + 3 Reorder the terms: a = 7(8a + -1[-5 + 5a + 4a]) + 3 Combine like terms: 5a + 4a = 9a a = 7(8a + -1[-5 + 9a]) + 3 a = 7(8a + [-5 * -1 + 9a * -1]) + 3 a = 7(8a + [5 + -9a]) + 3 Reorder the terms: a = 7(5 + 8a + -9a) + 3 Combine like terms: 8a + -9a = -1a a = 7(5 + -1a) + 3 a = (5 * 7 + -1a * 7) + 3 a = (35 + -7a) + 3 Reorder the terms: a = 35 + 3 + -7a Combine like terms: 35 + 3 = 38 a = 38 + -7a Solving a = 38 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. a + 7a = 38 + -7a + 7a Combine like terms: a + 7a = 8a 8a = 38 + -7a + 7a Combine like terms: -7a + 7a = 0 8a = 38 + 0 8a = 38 Divide each side by '8'. a = 4.75 Simplifying a = 4.75
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