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Simplifying (-5a + 2) + (3a + -5) + (a + 8a) = 0 Reorder the terms: (2 + -5a) + (3a + -5) + (a + 8a) = 0 Remove parenthesis around (2 + -5a) 2 + -5a + (3a + -5) + (a + 8a) = 0 Reorder the terms: 2 + -5a + (-5 + 3a) + (a + 8a) = 0 Remove parenthesis around (-5 + 3a) 2 + -5a + -5 + 3a + (a + 8a) = 0 Combine like terms: a + 8a = 9a 2 + -5a + -5 + 3a + (9a) = 0 2 + -5a + -5 + 3a + (9a) = 0 Reorder the terms: 2 + -5 + -5a + 3a + (9a) = 0 Combine like terms: 2 + -5 = -3 -3 + -5a + 3a + (9a) = 0 Combine like terms: -5a + 3a = -2a -3 + -2a + (9a) = 0 Combine like terms: -2a + (9a) = 7a -3 + 7a = 0 Solving -3 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 0 + 3 7a = 0 + 3 Combine like terms: 0 + 3 = 3 7a = 3 Divide each side by '7'. a = 0.4285714286 Simplifying a = 0.4285714286
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