2k+4=7k-11

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Solution for 2k+4=7k-11 equation:


Simplifying
2k + 4 = 7k + -11

Reorder the terms:
4 + 2k = 7k + -11

Reorder the terms:
4 + 2k = -11 + 7k

Solving
4 + 2k = -11 + 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.
4 + 2k + -7k = -11 + 7k + -7k

Combine like terms: 2k + -7k = -5k
4 + -5k = -11 + 7k + -7k

Combine like terms: 7k + -7k = 0
4 + -5k = -11 + 0
4 + -5k = -11

Add '-4' to each side of the equation.
4 + -4 + -5k = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -5k = -11 + -4
-5k = -11 + -4

Combine like terms: -11 + -4 = -15
-5k = -15

Divide each side by '-5'.
k = 3

Simplifying
k = 3

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