7k+8.5=k+13

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Solution for 7k+8.5=k+13 equation: 


Simplifying
7k + 8.5 = k + 13

Reorder the terms:
8.5 + 7k = k + 13

Reorder the terms:
8.5 + 7k = 13 + k

Solving
8.5 + 7k = 13 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
8.5 + 7k + -1k = 13 + k + -1k

Combine like terms: 7k + -1k = 6k
8.5 + 6k = 13 + k + -1k

Combine like terms: k + -1k = 0
8.5 + 6k = 13 + 0
8.5 + 6k = 13

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 6k = 13 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 6k = 13 + -8.5
6k = 13 + -8.5

Combine like terms: 13 + -8.5 = 4.5
6k = 4.5

Divide each side by '6'.
k = 0.75

Simplifying
k = 0.75

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