8-3(k-4)=2k

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Solution for 8-3(k-4)=2k equation:


Simplifying
8 + -3(k + -4) = 2k

Reorder the terms:
8 + -3(-4 + k) = 2k
8 + (-4 * -3 + k * -3) = 2k
8 + (12 + -3k) = 2k

Combine like terms: 8 + 12 = 20
20 + -3k = 2k

Solving
20 + -3k = 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
20 + -3k + -2k = 2k + -2k

Combine like terms: -3k + -2k = -5k
20 + -5k = 2k + -2k

Combine like terms: 2k + -2k = 0
20 + -5k = 0

Add '-20' to each side of the equation.
20 + -20 + -5k = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5k = 0 + -20
-5k = 0 + -20

Combine like terms: 0 + -20 = -20
-5k = -20

Divide each side by '-5'.
k = 4

Simplifying
k = 4

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