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Simplifying -5(5 + 4a) = -23 + -8a (5 * -5 + 4a * -5) = -23 + -8a (-25 + -20a) = -23 + -8a Solving -25 + -20a = -23 + -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. -25 + -20a + 8a = -23 + -8a + 8a Combine like terms: -20a + 8a = -12a -25 + -12a = -23 + -8a + 8a Combine like terms: -8a + 8a = 0 -25 + -12a = -23 + 0 -25 + -12a = -23 Add '25' to each side of the equation. -25 + 25 + -12a = -23 + 25 Combine like terms: -25 + 25 = 0 0 + -12a = -23 + 25 -12a = -23 + 25 Combine like terms: -23 + 25 = 2 -12a = 2 Divide each side by '-12'. a = -0.1666666667 Simplifying a = -0.1666666667
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