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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 = -48 -12a = -48 Divide each side by '-12'. a = 4 Simplifying a = 4
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