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

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


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

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

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

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

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

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

Combine like terms: -3 + -5 = -8
2 + 5k = -8 + 2k + 4k

Combine like terms: 2k + 4k = 6k
2 + 5k = -8 + 6k

Solving
2 + 5k = -8 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
2 + 5k + -6k = -8 + 6k + -6k

Combine like terms: 5k + -6k = -1k
2 + -1k = -8 + 6k + -6k

Combine like terms: 6k + -6k = 0
2 + -1k = -8 + 0
2 + -1k = -8

Add '-2' to each side of the equation.
2 + -2 + -1k = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = -8 + -2
-1k = -8 + -2

Combine like terms: -8 + -2 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10

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