3k-13+k+2k+7=12+3k-2+5

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Solution for 3k-13+k+2k+7=12+3k-2+5 equation:


Simplifying
3k + -13 + k + 2k + 7 = 12 + 3k + -2 + 5

Reorder the terms:
-13 + 7 + 3k + k + 2k = 12 + 3k + -2 + 5

Combine like terms: -13 + 7 = -6
-6 + 3k + k + 2k = 12 + 3k + -2 + 5

Combine like terms: 3k + k = 4k
-6 + 4k + 2k = 12 + 3k + -2 + 5

Combine like terms: 4k + 2k = 6k
-6 + 6k = 12 + 3k + -2 + 5

Reorder the terms:
-6 + 6k = 12 + -2 + 5 + 3k

Combine like terms: 12 + -2 = 10
-6 + 6k = 10 + 5 + 3k

Combine like terms: 10 + 5 = 15
-6 + 6k = 15 + 3k

Solving
-6 + 6k = 15 + 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.
-6 + 6k + -3k = 15 + 3k + -3k

Combine like terms: 6k + -3k = 3k
-6 + 3k = 15 + 3k + -3k

Combine like terms: 3k + -3k = 0
-6 + 3k = 15 + 0
-6 + 3k = 15

Add '6' to each side of the equation.
-6 + 6 + 3k = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3k = 15 + 6
3k = 15 + 6

Combine like terms: 15 + 6 = 21
3k = 21

Divide each side by '3'.
k = 7

Simplifying
k = 7

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