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a\times \frac{7}{10}+6=76
Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.
a\times \frac{7}{10}=76-6
Subtract 6 from both sides.
a\times \frac{7}{10}=70
Subtract 6 from 76 to get 70.
a=70\times \frac{10}{7}
Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.
a=\frac{70\times 10}{7}
Express 70\times \frac{10}{7} as a single fraction.
a=\frac{700}{7}
Multiply 70 and 10 to get 700.
a=100
Divide 700 by 7 to get 100.