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Simplifying 9 + -4[10a + -1(4a + 3) + -6] = 11a + 10 Reorder the terms: 9 + -4[10a + -1(3 + 4a) + -6] = 11a + 10 9 + -4[10a + (3 * -1 + 4a * -1) + -6] = 11a + 10 9 + -4[10a + (-3 + -4a) + -6] = 11a + 10 Reorder the terms: 9 + -4[-3 + -6 + 10a + -4a] = 11a + 10 Combine like terms: -3 + -6 = -9 9 + -4[-9 + 10a + -4a] = 11a + 10 Combine like terms: 10a + -4a = 6a 9 + -4[-9 + 6a] = 11a + 10 9 + [-9 * -4 + 6a * -4] = 11a + 10 9 + [36 + -24a] = 11a + 10 Combine like terms: 9 + 36 = 45 45 + -24a = 11a + 10 Reorder the terms: 45 + -24a = 10 + 11a Solving 45 + -24a = 10 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 45 + -24a + -11a = 10 + 11a + -11a Combine like terms: -24a + -11a = -35a 45 + -35a = 10 + 11a + -11a Combine like terms: 11a + -11a = 0 45 + -35a = 10 + 0 45 + -35a = 10 Add '-45' to each side of the equation. 45 + -45 + -35a = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -35a = 10 + -45 -35a = 10 + -45 Combine like terms: 10 + -45 = -35 -35a = -35 Divide each side by '-35'. a = 1 Simplifying a = 1
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