3k-1=4(5-k)

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Solution for 3k-1=4(5-k) equation:


Simplifying
3k + -1 = 4(5 + -1k)

Reorder the terms:
-1 + 3k = 4(5 + -1k)
-1 + 3k = (5 * 4 + -1k * 4)
-1 + 3k = (20 + -4k)

Solving
-1 + 3k = 20 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-1 + 3k + 4k = 20 + -4k + 4k

Combine like terms: 3k + 4k = 7k
-1 + 7k = 20 + -4k + 4k

Combine like terms: -4k + 4k = 0
-1 + 7k = 20 + 0
-1 + 7k = 20

Add '1' to each side of the equation.
-1 + 1 + 7k = 20 + 1

Combine like terms: -1 + 1 = 0
0 + 7k = 20 + 1
7k = 20 + 1

Combine like terms: 20 + 1 = 21
7k = 21

Divide each side by '7'.
k = 3

Simplifying
k = 3

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