5k-40=-1k+-7

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Solution for 5k-40=-1k+-7 equation:


Simplifying
5k + -40 = -1k + -7

Reorder the terms:
-40 + 5k = -1k + -7

Reorder the terms:
-40 + 5k = -7 + -1k

Solving
-40 + 5k = -7 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-40 + 5k + k = -7 + -1k + k

Combine like terms: 5k + k = 6k
-40 + 6k = -7 + -1k + k

Combine like terms: -1k + k = 0
-40 + 6k = -7 + 0
-40 + 6k = -7

Add '40' to each side of the equation.
-40 + 40 + 6k = -7 + 40

Combine like terms: -40 + 40 = 0
0 + 6k = -7 + 40
6k = -7 + 40

Combine like terms: -7 + 40 = 33
6k = 33

Divide each side by '6'.
k = 5.5

Simplifying
k = 5.5

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