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Simplifying 10 + -1[3 + 2(1 + -4a)] + -1(2a + -7) = 0 10 + -1[3 + (1 * 2 + -4a * 2)] + -1(2a + -7) = 0 10 + -1[3 + (2 + -8a)] + -1(2a + -7) = 0 Combine like terms: 3 + 2 = 5 10 + -1[5 + -8a] + -1(2a + -7) = 0 10 + [5 * -1 + -8a * -1] + -1(2a + -7) = 0 10 + [-5 + 8a] + -1(2a + -7) = 0 Reorder the terms: 10 + -5 + 8a + -1(-7 + 2a) = 0 10 + -5 + 8a + (-7 * -1 + 2a * -1) = 0 10 + -5 + 8a + (7 + -2a) = 0 Reorder the terms: 10 + -5 + 7 + 8a + -2a = 0 Combine like terms: 10 + -5 = 5 5 + 7 + 8a + -2a = 0 Combine like terms: 5 + 7 = 12 12 + 8a + -2a = 0 Combine like terms: 8a + -2a = 6a 12 + 6a = 0 Solving 12 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = 0 + -12 6a = 0 + -12 Combine like terms: 0 + -12 = -12 6a = -12 Divide each side by '6'. a = -2 Simplifying a = -2
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