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Simplifying -8(3a + -5) = 56a Reorder the terms: -8(-5 + 3a) = 56a (-5 * -8 + 3a * -8) = 56a (40 + -24a) = 56a Solving 40 + -24a = 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. 40 + -24a + -56a = 56a + -56a Combine like terms: -24a + -56a = -80a 40 + -80a = 56a + -56a Combine like terms: 56a + -56a = 0 40 + -80a = 0 Add '-40' to each side of the equation. 40 + -40 + -80a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -80a = 0 + -40 -80a = 0 + -40 Combine like terms: 0 + -40 = -40 -80a = -40 Divide each side by '-80'. a = 0.5 Simplifying a = 0.5
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