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Simplifying 6a + -4(2 + -3(4a + -3)) = 17 Reorder the terms: 6a + -4(2 + -3(-3 + 4a)) = 17 6a + -4(2 + (-3 * -3 + 4a * -3)) = 17 6a + -4(2 + (9 + -12a)) = 17 Combine like terms: 2 + 9 = 11 6a + -4(11 + -12a) = 17 6a + (11 * -4 + -12a * -4) = 17 6a + (-44 + 48a) = 17 Reorder the terms: -44 + 6a + 48a = 17 Combine like terms: 6a + 48a = 54a -44 + 54a = 17 Solving -44 + 54a = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 54a = 17 + 44 Combine like terms: -44 + 44 = 0 0 + 54a = 17 + 44 54a = 17 + 44 Combine like terms: 17 + 44 = 61 54a = 61 Divide each side by '54'. a = 1.12962963 Simplifying a = 1.12962963
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