5k+2k-4+k=13k-7+8

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Solution for 5k+2k-4+k=13k-7+8 equation: 


Simplifying
5k + 2k + -4 + k = 13k + -7 + 8

Reorder the terms:
-4 + 5k + 2k + k = 13k + -7 + 8

Combine like terms: 5k + 2k = 7k
-4 + 7k + k = 13k + -7 + 8

Combine like terms: 7k + k = 8k
-4 + 8k = 13k + -7 + 8

Reorder the terms:
-4 + 8k = -7 + 8 + 13k

Combine like terms: -7 + 8 = 1
-4 + 8k = 1 + 13k

Solving
-4 + 8k = 1 + 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
-4 + 8k + -13k = 1 + 13k + -13k

Combine like terms: 8k + -13k = -5k
-4 + -5k = 1 + 13k + -13k

Combine like terms: 13k + -13k = 0
-4 + -5k = 1 + 0
-4 + -5k = 1

Add '4' to each side of the equation.
-4 + 4 + -5k = 1 + 4

Combine like terms: -4 + 4 = 0
0 + -5k = 1 + 4
-5k = 1 + 4

Combine like terms: 1 + 4 = 5
-5k = 5

Divide each side by '-5'.
k = -1

Simplifying
k = -1

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