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Simplifying 5a = 11(a + -1[5a + (2a + -7)]) + 3 Reorder the terms: 5a = 11(a + -1[5a + (-7 + 2a)]) + 3 Remove parenthesis around (-7 + 2a) 5a = 11(a + -1[5a + -7 + 2a]) + 3 Reorder the terms: 5a = 11(a + -1[-7 + 5a + 2a]) + 3 Combine like terms: 5a + 2a = 7a 5a = 11(a + -1[-7 + 7a]) + 3 5a = 11(a + [-7 * -1 + 7a * -1]) + 3 5a = 11(a + [7 + -7a]) + 3 Reorder the terms: 5a = 11(7 + a + -7a) + 3 Combine like terms: a + -7a = -6a 5a = 11(7 + -6a) + 3 5a = (7 * 11 + -6a * 11) + 3 5a = (77 + -66a) + 3 Reorder the terms: 5a = 77 + 3 + -66a Combine like terms: 77 + 3 = 80 5a = 80 + -66a Solving 5a = 80 + -66a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '66a' to each side of the equation. 5a + 66a = 80 + -66a + 66a Combine like terms: 5a + 66a = 71a 71a = 80 + -66a + 66a Combine like terms: -66a + 66a = 0 71a = 80 + 0 71a = 80 Divide each side by '71'. a = 1.126760563 Simplifying a = 1.126760563
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