3k-5-4k=7+k-8

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Solution for 3k-5-4k=7+k-8 equation:


Simplifying
3k + -5 + -4k = 7 + k + -8

Reorder the terms:
-5 + 3k + -4k = 7 + k + -8

Combine like terms: 3k + -4k = -1k
-5 + -1k = 7 + k + -8

Reorder the terms:
-5 + -1k = 7 + -8 + k

Combine like terms: 7 + -8 = -1
-5 + -1k = -1 + k

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

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

Combine like terms: k + -1k = 0
-5 + -2k = -1 + 0
-5 + -2k = -1

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

Combine like terms: -5 + 5 = 0
0 + -2k = -1 + 5
-2k = -1 + 5

Combine like terms: -1 + 5 = 4
-2k = 4

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

Simplifying
k = -2

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