27k-12=6k+282

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Solution for 27k-12=6k+282 equation:


Simplifying
27k + -12 = 6k + 282

Reorder the terms:
-12 + 27k = 6k + 282

Reorder the terms:
-12 + 27k = 282 + 6k

Solving
-12 + 27k = 282 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
-12 + 27k + -6k = 282 + 6k + -6k

Combine like terms: 27k + -6k = 21k
-12 + 21k = 282 + 6k + -6k

Combine like terms: 6k + -6k = 0
-12 + 21k = 282 + 0
-12 + 21k = 282

Add '12' to each side of the equation.
-12 + 12 + 21k = 282 + 12

Combine like terms: -12 + 12 = 0
0 + 21k = 282 + 12
21k = 282 + 12

Combine like terms: 282 + 12 = 294
21k = 294

Divide each side by '21'.
k = 14

Simplifying
k = 14

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