k-4+5k-3=6+2k-2+k

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Solution for k-4+5k-3=6+2k-2+k equation: 


Simplifying
k + -4 + 5k + -3 = 6 + 2k + -2 + k

Reorder the terms:
-4 + -3 + k + 5k = 6 + 2k + -2 + k

Combine like terms: -4 + -3 = -7
-7 + k + 5k = 6 + 2k + -2 + k

Combine like terms: k + 5k = 6k
-7 + 6k = 6 + 2k + -2 + k

Reorder the terms:
-7 + 6k = 6 + -2 + 2k + k

Combine like terms: 6 + -2 = 4
-7 + 6k = 4 + 2k + k

Combine like terms: 2k + k = 3k
-7 + 6k = 4 + 3k

Solving
-7 + 6k = 4 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-7 + 6k + -3k = 4 + 3k + -3k

Combine like terms: 6k + -3k = 3k
-7 + 3k = 4 + 3k + -3k

Combine like terms: 3k + -3k = 0
-7 + 3k = 4 + 0
-7 + 3k = 4

Add '7' to each side of the equation.
-7 + 7 + 3k = 4 + 7

Combine like terms: -7 + 7 = 0
0 + 3k = 4 + 7
3k = 4 + 7

Combine like terms: 4 + 7 = 11
3k = 11

Divide each side by '3'.
k = 3.666666667

Simplifying
k = 3.666666667

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