Solve 6(2-N)+4=1-(N-3)

$$6 ( 2 - N ) + 4 = 1 - ( N - 3 )$$

Solve for N

$$N = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2-N.

$$12-6N+4=1-\left(N-3\right)$$

Add 12 and 4 to get 16.

$$16-6N=1-\left(N-3\right)$$

To find the opposite of N-3, find the opposite of each term.

$$16-6N=1-N-\left(-3\right)$$

The opposite of -3 is 3.

$$16-6N=1-N+3$$

Add 1 and 3 to get 4.

$$16-6N=4-N$$

Add N to both sides.

$$16-6N+N=4$$

Combine -6N and N to get -5N.

$$16-5N=4$$

Subtract 16 from both sides.

$$-5N=4-16$$

Subtract 16 from 4 to get -12.

$$-5N=-12$$

Divide both sides by -5.

$$N=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$N=\frac{12}{5}$$