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Simplifying -5(4a + 5) + -5(4a + -6) = -115 Reorder the terms: -5(5 + 4a) + -5(4a + -6) = -115 (5 * -5 + 4a * -5) + -5(4a + -6) = -115 (-25 + -20a) + -5(4a + -6) = -115 Reorder the terms: -25 + -20a + -5(-6 + 4a) = -115 -25 + -20a + (-6 * -5 + 4a * -5) = -115 -25 + -20a + (30 + -20a) = -115 Reorder the terms: -25 + 30 + -20a + -20a = -115 Combine like terms: -25 + 30 = 5 5 + -20a + -20a = -115 Combine like terms: -20a + -20a = -40a 5 + -40a = -115 Solving 5 + -40a = -115 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -40a = -115 + -5 Combine like terms: 5 + -5 = 0 0 + -40a = -115 + -5 -40a = -115 + -5 Combine like terms: -115 + -5 = -120 -40a = -120 Divide each side by '-40'. a = 3 Simplifying a = 3
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