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Simplifying 5a + 4(3a + -8) = 413a Reorder the terms: 5a + 4(-8 + 3a) = 413a 5a + (-8 * 4 + 3a * 4) = 413a 5a + (-32 + 12a) = 413a Reorder the terms: -32 + 5a + 12a = 413a Combine like terms: 5a + 12a = 17a -32 + 17a = 413a Solving -32 + 17a = 413a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-413a' to each side of the equation. -32 + 17a + -413a = 413a + -413a Combine like terms: 17a + -413a = -396a -32 + -396a = 413a + -413a Combine like terms: 413a + -413a = 0 -32 + -396a = 0 Add '32' to each side of the equation. -32 + 32 + -396a = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -396a = 0 + 32 -396a = 0 + 32 Combine like terms: 0 + 32 = 32 -396a = 32 Divide each side by '-396'. a = -0.08080808081 Simplifying a = -0.08080808081
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