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Solve for a a/7-5/7=6/7

$\frac{a}{7} - \frac{5}{7} = \frac{6}{7}$

Step 1

Move all terms not containing $a$ to the right side of the equation.

Add $\frac{5}{7}$ to both sides of the equation.

$\frac{a}{7} = \frac{6}{7} + \frac{5}{7}$

Combine the numerators over the common denominator.

$\frac{a}{7} = \frac{6 + 5}{7}$

Add $6$ and $5$ .

$\frac{a}{7} = \frac{11}{7}$

$\frac{a}{7} = \frac{11}{7}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$a = 11$

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