Solve -12=-6(-8n+6)+8(-4+n)

$$- 12 = - 6 ( - 8 n + 6 ) + 8 ( - 4 + n )$$

Solve for n

$$n=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by -8n+6.

$$-12=48n-36+8\left(-4+n\right)$$

Use the distributive property to multiply 8 by -4+n.

$$-12=48n-36-32+8n$$

Subtract 32 from -36 to get -68.

$$-12=48n-68+8n$$

Combine 48n and 8n to get 56n.

$$-12=56n-68$$

Swap sides so that all variable terms are on the left hand side.

$$56n-68=-12$$

Add 68 to both sides.

$$56n=-12+68$$

Add -12 and 68 to get 56.

$$56n=56$$

Divide both sides by 56.

$$n=\frac{56}{56}$$

Divide 56 by 56 to get 1.

$$n=1$$