2k+1=-5k-13

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Solution for 2k+1=-5k-13 equation:


Simplifying
2k + 1 = -5k + -13

Reorder the terms:
1 + 2k = -5k + -13

Reorder the terms:
1 + 2k = -13 + -5k

Solving
1 + 2k = -13 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
1 + 2k + 5k = -13 + -5k + 5k

Combine like terms: 2k + 5k = 7k
1 + 7k = -13 + -5k + 5k

Combine like terms: -5k + 5k = 0
1 + 7k = -13 + 0
1 + 7k = -13

Add '-1' to each side of the equation.
1 + -1 + 7k = -13 + -1

Combine like terms: 1 + -1 = 0
0 + 7k = -13 + -1
7k = -13 + -1

Combine like terms: -13 + -1 = -14
7k = -14

Divide each side by '7'.
k = -2

Simplifying
k = -2

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