7k+2=4k-10

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Solution for 7k+2=4k-10 equation:


Simplifying
7k + 2 = 4k + -10

Reorder the terms:
2 + 7k = 4k + -10

Reorder the terms:
2 + 7k = -10 + 4k

Solving
2 + 7k = -10 + 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.
2 + 7k + -4k = -10 + 4k + -4k

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

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

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

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

Combine like terms: -10 + -2 = -12
3k = -12

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

Simplifying
k = -4

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