2(3k-7)=2k+4+k+12

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Solution for 2(3k-7)=2k+4+k+12 equation:


Simplifying
2(3k + -7) = 2k + 4 + k + 12

Reorder the terms:
2(-7 + 3k) = 2k + 4 + k + 12
(-7 * 2 + 3k * 2) = 2k + 4 + k + 12
(-14 + 6k) = 2k + 4 + k + 12

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

Combine like terms: 4 + 12 = 16
-14 + 6k = 16 + 2k + k

Combine like terms: 2k + k = 3k
-14 + 6k = 16 + 3k

Solving
-14 + 6k = 16 + 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.
-14 + 6k + -3k = 16 + 3k + -3k

Combine like terms: 6k + -3k = 3k
-14 + 3k = 16 + 3k + -3k

Combine like terms: 3k + -3k = 0
-14 + 3k = 16 + 0
-14 + 3k = 16

Add '14' to each side of the equation.
-14 + 14 + 3k = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 3k = 16 + 14
3k = 16 + 14

Combine like terms: 16 + 14 = 30
3k = 30

Divide each side by '3'.
k = 10

Simplifying
k = 10

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