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Simplifying 4a = 11(7a + -1[a + (8a + -3)]) + 1 Reorder the terms: 4a = 11(7a + -1[a + (-3 + 8a)]) + 1 Remove parenthesis around (-3 + 8a) 4a = 11(7a + -1[a + -3 + 8a]) + 1 Reorder the terms: 4a = 11(7a + -1[-3 + a + 8a]) + 1 Combine like terms: a + 8a = 9a 4a = 11(7a + -1[-3 + 9a]) + 1 4a = 11(7a + [-3 * -1 + 9a * -1]) + 1 4a = 11(7a + [3 + -9a]) + 1 Reorder the terms: 4a = 11(3 + 7a + -9a) + 1 Combine like terms: 7a + -9a = -2a 4a = 11(3 + -2a) + 1 4a = (3 * 11 + -2a * 11) + 1 4a = (33 + -22a) + 1 Reorder the terms: 4a = 33 + 1 + -22a Combine like terms: 33 + 1 = 34 4a = 34 + -22a Solving 4a = 34 + -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. 4a + 22a = 34 + -22a + 22a Combine like terms: 4a + 22a = 26a 26a = 34 + -22a + 22a Combine like terms: -22a + 22a = 0 26a = 34 + 0 26a = 34 Divide each side by '26'. a = 1.307692308 Simplifying a = 1.307692308
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