-4-5(1+8k)=33

Simplify each term.

Apply the distributive property.

-4-5⋅1-5(8k)=33

Multiply -5 by 1.

-4-5-5(8k)=33

Multiply 8 by -5.

-4-5-40k=33

-4-5-40k=33

Subtract 5 from -4.

-9-40k=33

-9-40k=33

Add 9 to both sides of the equation.

-40k=33+9

Add 33 and 9.

-40k=42

-40k=42

Divide each term in -40k=42 by -40.

-40k-40=42-40

Cancel the common factor of -40.

Cancel the common factor.

-40k-40=42-40

Divide k by 1.

k=42-40

k=42-40

Simplify 42-40.

Cancel the common factor of 42 and -40.

Factor 2 out of 42.

k=2(21)-40

Cancel the common factors.

Factor 2 out of -40.

k=2⋅212⋅-20

Cancel the common factor.

k=2⋅212⋅-20

Rewrite the expression.

k=21-20

k=21-20

k=21-20

Move the negative in front of the fraction.

k=-2120

k=-2120

k=-2120

The result can be shown in multiple forms.

Exact Form:

k=-2120

Decimal Form:

k=-1.05

Mixed Number Form:

k=-1120

Solve for k -4-5(1+8k)=33