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Simplifying 413 = -7(8a + 5) Reorder the terms: 413 = -7(5 + 8a) 413 = (5 * -7 + 8a * -7) 413 = (-35 + -56a) Solving 413 = -35 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 413 + 56a = -35 + -56a + 56a Combine like terms: -56a + 56a = 0 413 + 56a = -35 + 0 413 + 56a = -35 Add '-413' to each side of the equation. 413 + -413 + 56a = -35 + -413 Combine like terms: 413 + -413 = 0 0 + 56a = -35 + -413 56a = -35 + -413 Combine like terms: -35 + -413 = -448 56a = -448 Divide each side by '56'. a = -8 Simplifying a = -8
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