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Simplifying 40a + 45b + 15c = 6000 Solving 40a + 45b + 15c = 6000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45b' to each side of the equation. 40a + 45b + -45b + 15c = 6000 + -45b Combine like terms: 45b + -45b = 0 40a + 0 + 15c = 6000 + -45b 40a + 15c = 6000 + -45b Add '-15c' to each side of the equation. 40a + 15c + -15c = 6000 + -45b + -15c Combine like terms: 15c + -15c = 0 40a + 0 = 6000 + -45b + -15c 40a = 6000 + -45b + -15c Divide each side by '40'. a = 150 + -1.125b + -0.375c Simplifying a = 150 + -1.125b + -0.375c
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