4(k+2)=2(-3+9k)+2k

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Solution for 4(k+2)=2(-3+9k)+2k equation: 


Simplifying
4(k + 2) = 2(-3 + 9k) + 2k

Reorder the terms:
4(2 + k) = 2(-3 + 9k) + 2k
(2 * 4 + k * 4) = 2(-3 + 9k) + 2k
(8 + 4k) = 2(-3 + 9k) + 2k
8 + 4k = (-3 * 2 + 9k * 2) + 2k
8 + 4k = (-6 + 18k) + 2k

Combine like terms: 18k + 2k = 20k
8 + 4k = -6 + 20k

Solving
8 + 4k = -6 + 20k

Solving for variable 'k'.

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

Add '-20k' to each side of the equation.
8 + 4k + -20k = -6 + 20k + -20k

Combine like terms: 4k + -20k = -16k
8 + -16k = -6 + 20k + -20k

Combine like terms: 20k + -20k = 0
8 + -16k = -6 + 0
8 + -16k = -6

Add '-8' to each side of the equation.
8 + -8 + -16k = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -16k = -6 + -8
-16k = -6 + -8

Combine like terms: -6 + -8 = -14
-16k = -14

Divide each side by '-16'.
k = 0.875

Simplifying
k = 0.875

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