2(7k+2)=2(6k-2)+6k

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Solution for 2(7k+2)=2(6k-2)+6k equation:


Simplifying
2(7k + 2) = 2(6k + -2) + 6k

Reorder the terms:
2(2 + 7k) = 2(6k + -2) + 6k
(2 * 2 + 7k * 2) = 2(6k + -2) + 6k
(4 + 14k) = 2(6k + -2) + 6k

Reorder the terms:
4 + 14k = 2(-2 + 6k) + 6k
4 + 14k = (-2 * 2 + 6k * 2) + 6k
4 + 14k = (-4 + 12k) + 6k

Combine like terms: 12k + 6k = 18k
4 + 14k = -4 + 18k

Solving
4 + 14k = -4 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
4 + 14k + -18k = -4 + 18k + -18k

Combine like terms: 14k + -18k = -4k
4 + -4k = -4 + 18k + -18k

Combine like terms: 18k + -18k = 0
4 + -4k = -4 + 0
4 + -4k = -4

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

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

Combine like terms: -4 + -4 = -8
-4k = -8

Divide each side by '-4'.
k = 2

Simplifying
k = 2

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