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Simplifying 164 = 6(a) + 4(b) + 4(c) Solving 164 = 6a + 4b + 4c 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. 164 + -6a = 6a + 4b + -6a + 4c Reorder the terms: 164 + -6a = 6a + -6a + 4b + 4c Combine like terms: 6a + -6a = 0 164 + -6a = 0 + 4b + 4c 164 + -6a = 4b + 4c Add '-164' to each side of the equation. 164 + -164 + -6a = 4b + -164 + 4c Combine like terms: 164 + -164 = 0 0 + -6a = 4b + -164 + 4c -6a = 4b + -164 + 4c Reorder the terms: -6a = -164 + 4b + 4c Divide each side by '-6'. a = 27.33333333 + -0.6666666667b + -0.6666666667c Simplifying a = 27.33333333 + -0.6666666667b + -0.6666666667c
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