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Simplifying -7(8a + 5) = -427 Reorder the terms: -7(5 + 8a) = -427 (5 * -7 + 8a * -7) = -427 (-35 + -56a) = -427 Solving -35 + -56a = -427 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -56a = -427 + 35 Combine like terms: -35 + 35 = 0 0 + -56a = -427 + 35 -56a = -427 + 35 Combine like terms: -427 + 35 = -392 -56a = -392 Divide each side by '-56'. a = 7 Simplifying a = 7
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