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Simplifying -5(4a + 8) = -20 + -8a Reorder the terms: -5(8 + 4a) = -20 + -8a (8 * -5 + 4a * -5) = -20 + -8a (-40 + -20a) = -20 + -8a Solving -40 + -20a = -20 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -40 + -20a + 8a = -20 + -8a + 8a Combine like terms: -20a + 8a = -12a -40 + -12a = -20 + -8a + 8a Combine like terms: -8a + 8a = 0 -40 + -12a = -20 + 0 -40 + -12a = -20 Add '40' to each side of the equation. -40 + 40 + -12a = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -12a = -20 + 40 -12a = -20 + 40 Combine like terms: -20 + 40 = 20 -12a = 20 Divide each side by '-12'. a = -1.666666667 Simplifying a = -1.666666667
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