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Simplifying (2a + -4) + -1(10 + -1(4a + 7)) = 0 Reorder the terms: (-4 + 2a) + -1(10 + -1(4a + 7)) = 0 Remove parenthesis around (-4 + 2a) -4 + 2a + -1(10 + -1(4a + 7)) = 0 Reorder the terms: -4 + 2a + -1(10 + -1(7 + 4a)) = 0 -4 + 2a + -1(10 + (7 * -1 + 4a * -1)) = 0 -4 + 2a + -1(10 + (-7 + -4a)) = 0 Combine like terms: 10 + -7 = 3 -4 + 2a + -1(3 + -4a) = 0 -4 + 2a + (3 * -1 + -4a * -1) = 0 -4 + 2a + (-3 + 4a) = 0 Reorder the terms: -4 + -3 + 2a + 4a = 0 Combine like terms: -4 + -3 = -7 -7 + 2a + 4a = 0 Combine like terms: 2a + 4a = 6a -7 + 6a = 0 Solving -7 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6a = 0 + 7 6a = 0 + 7 Combine like terms: 0 + 7 = 7 6a = 7 Divide each side by '6'. a = 1.166666667 Simplifying a = 1.166666667
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