12k+5=7k+40

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Solution for 12k+5=7k+40 equation:


Simplifying
12k + 5 = 7k + 40

Reorder the terms:
5 + 12k = 7k + 40

Reorder the terms:
5 + 12k = 40 + 7k

Solving
5 + 12k = 40 + 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 + 12k + -7k = 40 + 7k + -7k

Combine like terms: 12k + -7k = 5k
5 + 5k = 40 + 7k + -7k

Combine like terms: 7k + -7k = 0
5 + 5k = 40 + 0
5 + 5k = 40

Add '-5' to each side of the equation.
5 + -5 + 5k = 40 + -5

Combine like terms: 5 + -5 = 0
0 + 5k = 40 + -5
5k = 40 + -5

Combine like terms: 40 + -5 = 35
5k = 35

Divide each side by '5'.
k = 7

Simplifying
k = 7

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