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Simplifying 47 = 6a + 4b + 3c Solving 47 = 6a + 4b + 3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 47 + -6a = 6a + 4b + -6a + 3c Reorder the terms: 47 + -6a = 6a + -6a + 4b + 3c Combine like terms: 6a + -6a = 0 47 + -6a = 0 + 4b + 3c 47 + -6a = 4b + 3c Add '-47' to each side of the equation. 47 + -47 + -6a = 4b + -47 + 3c Combine like terms: 47 + -47 = 0 0 + -6a = 4b + -47 + 3c -6a = 4b + -47 + 3c Reorder the terms: -6a = -47 + 4b + 3c Divide each side by '-6'. a = 7.833333333 + -0.6666666667b + -0.5c Simplifying a = 7.833333333 + -0.6666666667b + -0.5c
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