7(k-3)=k-5

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Solution for 7(k-3)=k-5 equation:


Simplifying
7(k + -3) = k + -5

Reorder the terms:
7(-3 + k) = k + -5
(-3 * 7 + k * 7) = k + -5
(-21 + 7k) = k + -5

Reorder the terms:
-21 + 7k = -5 + k

Solving
-21 + 7k = -5 + 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.
-21 + 7k + -1k = -5 + k + -1k

Combine like terms: 7k + -1k = 6k
-21 + 6k = -5 + k + -1k

Combine like terms: k + -1k = 0
-21 + 6k = -5 + 0
-21 + 6k = -5

Add '21' to each side of the equation.
-21 + 21 + 6k = -5 + 21

Combine like terms: -21 + 21 = 0
0 + 6k = -5 + 21
6k = -5 + 21

Combine like terms: -5 + 21 = 16
6k = 16

Divide each side by '6'.
k = 2.666666667

Simplifying
k = 2.666666667

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