Solve 3+(n-1)(12)=3+53(12)+132

$$3 + ( n - 1 ) ( 12 ) = 3 + 53 ( 12 ) + 132$$

Solve for n

$$n=65$$

Steps for Solving Linear Equation

Use the distributive property to multiply n-1 by 12.

$$3+12n-12=3+53\times 12+132$$

Subtract 12 from 3 to get -9.

$$-9+12n=3+53\times 12+132$$

Multiply 53 and 12 to get 636.

$$-9+12n=3+636+132$$

Add 3 and 636 to get 639.

$$-9+12n=639+132$$

Add 639 and 132 to get 771.

$$-9+12n=771$$

Add 9 to both sides.

$$12n=771+9$$

Add 771 and 9 to get 780.

$$12n=780$$

Divide both sides by 12.

$$n=\frac{780}{12}$$

Divide 780 by 12 to get 65.

$$n=65$$