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Simplifying -5(a + 8) = -20 + 5a Reorder the terms: -5(8 + a) = -20 + 5a (8 * -5 + a * -5) = -20 + 5a (-40 + -5a) = -20 + 5a Solving -40 + -5a = -20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -40 + -5a + -5a = -20 + 5a + -5a Combine like terms: -5a + -5a = -10a -40 + -10a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 -40 + -10a = -20 + 0 -40 + -10a = -20 Add '40' to each side of the equation. -40 + 40 + -10a = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -10a = -20 + 40 -10a = -20 + 40 Combine like terms: -20 + 40 = 20 -10a = 20 Divide each side by '-10'. a = -2 Simplifying a = -2
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