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Simplifying -295 = 5(-8a + -3) Reorder the terms: -295 = 5(-3 + -8a) -295 = (-3 * 5 + -8a * 5) -295 = (-15 + -40a) Solving -295 = -15 + -40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40a' to each side of the equation. -295 + 40a = -15 + -40a + 40a Combine like terms: -40a + 40a = 0 -295 + 40a = -15 + 0 -295 + 40a = -15 Add '295' to each side of the equation. -295 + 295 + 40a = -15 + 295 Combine like terms: -295 + 295 = 0 0 + 40a = -15 + 295 40a = -15 + 295 Combine like terms: -15 + 295 = 280 40a = 280 Divide each side by '40'. a = 7 Simplifying a = 7
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