3k+8=10k-6

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Solution for 3k+8=10k-6 equation:


Simplifying
3k + 8 = 10k + -6

Reorder the terms:
8 + 3k = 10k + -6

Reorder the terms:
8 + 3k = -6 + 10k

Solving
8 + 3k = -6 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
8 + 3k + -10k = -6 + 10k + -10k

Combine like terms: 3k + -10k = -7k
8 + -7k = -6 + 10k + -10k

Combine like terms: 10k + -10k = 0
8 + -7k = -6 + 0
8 + -7k = -6

Add '-8' to each side of the equation.
8 + -8 + -7k = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -7k = -6 + -8
-7k = -6 + -8

Combine like terms: -6 + -8 = -14
-7k = -14

Divide each side by '-7'.
k = 2

Simplifying
k = 2

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