7k+2=3k-10

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Solution for 7k+2=3k-10 equation: 


Simplifying
7k + 2 = 3k + -10

Reorder the terms:
2 + 7k = 3k + -10

Reorder the terms:
2 + 7k = -10 + 3k

Solving
2 + 7k = -10 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
2 + 7k + -3k = -10 + 3k + -3k

Combine like terms: 7k + -3k = 4k
2 + 4k = -10 + 3k + -3k

Combine like terms: 3k + -3k = 0
2 + 4k = -10 + 0
2 + 4k = -10

Add '-2' to each side of the equation.
2 + -2 + 4k = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 4k = -10 + -2
4k = -10 + -2

Combine like terms: -10 + -2 = -12
4k = -12

Divide each side by '4'.
k = -3

Simplifying
k = -3

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