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Given that 8a + 7b + 3c = 3b + 6a + 6c, and a = 2/3c, and if 12b = 3, then b = 1/4 Substituting for a and b, 16/3c + 7/4 + 3c = 3/4 + 12/3c + 6c Making 12 the common denominator, 64/12c + 21/12 + 36/12c = 9/12 + 48/12c + 72/12c Combining like terms, 100/12c + 21/12 = 9/12 + 120/12c Grouping like terms, 12/12 = 20/12c Simplifying fractions, 1 = 5/3c Multiplying both terms by 5/3, c = 3/5 And a = 2/3c = 2/3 x 3/5 = 2/5 Checking the answer using a = 2/5, b =1/4, and c = 3/5, Left side = 8a + 7b + 3c = 16/5 + 7/4 + 9/5 = 25/5 + 7/4 = 5 + 1 3/4 = 6 3/4 Right side = 3b + 6a + 6c = 3/4 + 12/5 + 18/5 = 3/4 + 30/5 = 3/4 + 6 = 6 3/4

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