0.3333(-9k+30)=5+10k

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Solution for 0.3333(-9k+30)=5+10k equation: 


Simplifying
0.3333(-9k + 30) = 5 + 10k

Reorder the terms:
0.3333(30 + -9k) = 5 + 10k
(30 * 0.3333 + -9k * 0.3333) = 5 + 10k
(9.999 + -2.9997k) = 5 + 10k

Solving
9.999 + -2.9997k = 5 + 10k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-10k' to each side of the equation.
9.999 + -2.9997k + -10k = 5 + 10k + -10k

Combine like terms: -2.9997k + -10k = -12.9997k
9.999 + -12.9997k = 5 + 10k + -10k

Combine like terms: 10k + -10k = 0
9.999 + -12.9997k = 5 + 0
9.999 + -12.9997k = 5

Add '-9.999' to each side of the equation.
9.999 + -9.999 + -12.9997k = 5 + -9.999

Combine like terms: 9.999 + -9.999 = 0.000
0.000 + -12.9997k = 5 + -9.999
-12.9997k = 5 + -9.999

Combine like terms: 5 + -9.999 = -4.999
-12.9997k = -4.999

Divide each side by '-12.9997'.
k = 0.3845473357

Simplifying
k = 0.3845473357

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