# Solve for k -4-5(1+8k)=33 -4-5(1+8k)=33
Simplify -4-5(1+8k).
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
Move all terms not containing k to the right side of the equation.
Add 9 to both sides of the equation.
-40k=33+9
-40k=42
-40k=42
Divide each term by -40 and simplify.
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

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