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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 = -32a -40 + -32a = 56a + -56a Combine like terms: 56a + -56a = 0 -40 + -32a = 0 Add '40' to each side of the equation. -40 + 40 + -32a = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -32a = 0 + 40 -32a = 0 + 40 Combine like terms: 0 + 40 = 40 -32a = 40 Divide each side by '-32'. a = -1.25 Simplifying a = -1.25
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