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Simplifying 5a = 3(7a + -1[a + (4a + -7)]) + 5 Reorder the terms: 5a = 3(7a + -1[a + (-7 + 4a)]) + 5 Remove parenthesis around (-7 + 4a) 5a = 3(7a + -1[a + -7 + 4a]) + 5 Reorder the terms: 5a = 3(7a + -1[-7 + a + 4a]) + 5 Combine like terms: a + 4a = 5a 5a = 3(7a + -1[-7 + 5a]) + 5 5a = 3(7a + [-7 * -1 + 5a * -1]) + 5 5a = 3(7a + [7 + -5a]) + 5 Reorder the terms: 5a = 3(7 + 7a + -5a) + 5 Combine like terms: 7a + -5a = 2a 5a = 3(7 + 2a) + 5 5a = (7 * 3 + 2a * 3) + 5 5a = (21 + 6a) + 5 Reorder the terms: 5a = 21 + 5 + 6a Combine like terms: 21 + 5 = 26 5a = 26 + 6a Solving 5a = 26 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 5a + -6a = 26 + 6a + -6a Combine like terms: 5a + -6a = -1a -1a = 26 + 6a + -6a Combine like terms: 6a + -6a = 0 -1a = 26 + 0 -1a = 26 Divide each side by '-1'. a = -26 Simplifying a = -26
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