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Simplifying (9a + -4) + -1(7a + -3) = 0 Reorder the terms: (-4 + 9a) + -1(7a + -3) = 0 Remove parenthesis around (-4 + 9a) -4 + 9a + -1(7a + -3) = 0 Reorder the terms: -4 + 9a + -1(-3 + 7a) = 0 -4 + 9a + (-3 * -1 + 7a * -1) = 0 -4 + 9a + (3 + -7a) = 0 Reorder the terms: -4 + 3 + 9a + -7a = 0 Combine like terms: -4 + 3 = -1 -1 + 9a + -7a = 0 Combine like terms: 9a + -7a = 2a -1 + 2a = 0 Solving -1 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5
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