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Simplifying 8(3a + 5) + a = 75 Reorder the terms: 8(5 + 3a) + a = 75 (5 * 8 + 3a * 8) + a = 75 (40 + 24a) + a = 75 Combine like terms: 24a + a = 25a 40 + 25a = 75 Solving 40 + 25a = 75 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 25a = 75 + -40 Combine like terms: 40 + -40 = 0 0 + 25a = 75 + -40 25a = 75 + -40 Combine like terms: 75 + -40 = 35 25a = 35 Divide each side by '25'. a = 1.4 Simplifying a = 1.4
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