13k+5=2k-7

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


Simplifying
13k + 5 = 2k + -7

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

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

Solving
5 + 13k = -7 + 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.
5 + 13k + -2k = -7 + 2k + -2k

Combine like terms: 13k + -2k = 11k
5 + 11k = -7 + 2k + -2k

Combine like terms: 2k + -2k = 0
5 + 11k = -7 + 0
5 + 11k = -7

Add '-5' to each side of the equation.
5 + -5 + 11k = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 11k = -7 + -5
11k = -7 + -5

Combine like terms: -7 + -5 = -12
11k = -12

Divide each side by '11'.
k = -1.090909091

Simplifying
k = -1.090909091

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