3k-5=7k-16

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Solution for 3k-5=7k-16 equation:


Simplifying
3k + -5 = 7k + -16

Reorder the terms:
-5 + 3k = 7k + -16

Reorder the terms:
-5 + 3k = -16 + 7k

Solving
-5 + 3k = -16 + 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.
-5 + 3k + -7k = -16 + 7k + -7k

Combine like terms: 3k + -7k = -4k
-5 + -4k = -16 + 7k + -7k

Combine like terms: 7k + -7k = 0
-5 + -4k = -16 + 0
-5 + -4k = -16

Add '5' to each side of the equation.
-5 + 5 + -4k = -16 + 5

Combine like terms: -5 + 5 = 0
0 + -4k = -16 + 5
-4k = -16 + 5

Combine like terms: -16 + 5 = -11
-4k = -11

Divide each side by '-4'.
k = 2.75

Simplifying
k = 2.75

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