3k-1=7k+1

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Solution for 3k-1=7k+1 equation: 


Simplifying
3k + -1 = 7k + 1

Reorder the terms:
-1 + 3k = 7k + 1

Reorder the terms:
-1 + 3k = 1 + 7k

Solving
-1 + 3k = 1 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-1 + 3k + -7k = 1 + 7k + -7k

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

Combine like terms: 7k + -7k = 0
-1 + -4k = 1 + 0
-1 + -4k = 1

Add '1' to each side of the equation.
-1 + 1 + -4k = 1 + 1

Combine like terms: -1 + 1 = 0
0 + -4k = 1 + 1
-4k = 1 + 1

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

Divide each side by '-4'.
k = -0.5

Simplifying
k = -0.5

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