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