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Simplifying 8(3A + 5) + a = 65 Reorder the terms: 8(5 + 3A) + a = 65 (5 * 8 + 3A * 8) + a = 65 (40 + 24A) + a = 65 Solving 40 + 24A + a = 65 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 + 24A + -40 + a = 65 + -40 Reorder the terms: 40 + -40 + 24A + a = 65 + -40 Combine like terms: 40 + -40 = 0 0 + 24A + a = 65 + -40 24A + a = 65 + -40 Combine like terms: 65 + -40 = 25 24A + a = 25 Add '-1a' to each side of the equation. 24A + a + -1a = 25 + -1a Combine like terms: a + -1a = 0 24A + 0 = 25 + -1a 24A = 25 + -1a Divide each side by '24'. A = 1.041666667 + -0.04166666667a Simplifying A = 1.041666667 + -0.04166666667a
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