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Simplifying 5 + 3[a + -1(1 + -4a)] = 7 5 + 3[a + (1 * -1 + -4a * -1)] = 7 5 + 3[a + (-1 + 4a)] = 7 Reorder the terms: 5 + 3[-1 + a + 4a] = 7 Combine like terms: a + 4a = 5a 5 + 3[-1 + 5a] = 7 5 + [-1 * 3 + 5a * 3] = 7 5 + [-3 + 15a] = 7 Combine like terms: 5 + -3 = 2 2 + 15a = 7 Solving 2 + 15a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15a = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 15a = 7 + -2 15a = 7 + -2 Combine like terms: 7 + -2 = 5 15a = 5 Divide each side by '15'. a = 0.3333333333 Simplifying a = 0.3333333333
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