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Simplifying 40(a + 1.5) + 33a + 15(6a) = 386 Reorder the terms: 40(1.5 + a) + 33a + 15(6a) = 386 (1.5 * 40 + a * 40) + 33a + 15(6a) = 386 (60 + 40a) + 33a + 15(6a) = 386 Remove parenthesis around (6a) 60 + 40a + 33a + 15 * 6a = 386 Multiply 15 * 6 60 + 40a + 33a + 90a = 386 Combine like terms: 40a + 33a = 73a 60 + 73a + 90a = 386 Combine like terms: 73a + 90a = 163a 60 + 163a = 386 Solving 60 + 163a = 386 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 163a = 386 + -60 Combine like terms: 60 + -60 = 0 0 + 163a = 386 + -60 163a = 386 + -60 Combine like terms: 386 + -60 = 326 163a = 326 Divide each side by '163'. a = 2 Simplifying a = 2
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