Solve for k (60-k)-6=5(k-6)

Math
(60-k)-6=5(k-6)
Subtract 6 from 60.
-k+54=5(k-6)
Simplify 5(k-6).
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Apply the distributive property.
-k+54=5k+5⋅-6
Multiply 5 by -6.
-k+54=5k-30
-k+54=5k-30
Move all terms containing k to the left side of the equation.
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Subtract 5k from both sides of the equation.
-k+54-5k=-30
Subtract 5k from -k.
-6k+54=-30
-6k+54=-30
Move all terms not containing k to the right side of the equation.
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Subtract 54 from both sides of the equation.
-6k=-30-54
Subtract 54 from -30.
-6k=-84
-6k=-84
Divide each term by -6 and simplify.
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Divide each term in -6k=-84 by -6.
-6k-6=-84-6
Cancel the common factor of -6.
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Cancel the common factor.
-6k-6=-84-6
Divide k by 1.
k=-84-6
k=-84-6
Divide -84 by -6.
k=14
k=14
Solve for k (60-k)-6=5(k-6)

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