Solve -7(n-10)+n=13(7-n)

$$- 7 ( n - 10 ) + n = 13 ( 7 - n )$$

Solve for n

$$n=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by n-10.

$$-7n+70+n=13\left(7-n\right)$$

Combine -7n and n to get -6n.

$$-6n+70=13\left(7-n\right)$$

Use the distributive property to multiply 13 by 7-n.

$$-6n+70=91-13n$$

Add 13n to both sides.

$$-6n+70+13n=91$$

Combine -6n and 13n to get 7n.

$$7n+70=91$$

Subtract 70 from both sides.

$$7n=91-70$$

Subtract 70 from 91 to get 21.

$$7n=21$$

Divide both sides by 7.

$$n=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$n=3$$