212=14(k+8)-12

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Solution for 212=14(k+8)-12 equation: 


Simplifying
212 = 14(k + 8) + -12

Reorder the terms:
212 = 14(8 + k) + -12
212 = (8 * 14 + k * 14) + -12
212 = (112 + 14k) + -12

Reorder the terms:
212 = 112 + -12 + 14k

Combine like terms: 112 + -12 = 100
212 = 100 + 14k

Solving
212 = 100 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
212 + -14k = 100 + 14k + -14k

Combine like terms: 14k + -14k = 0
212 + -14k = 100 + 0
212 + -14k = 100

Add '-212' to each side of the equation.
212 + -212 + -14k = 100 + -212

Combine like terms: 212 + -212 = 0
0 + -14k = 100 + -212
-14k = 100 + -212

Combine like terms: 100 + -212 = -112
-14k = -112

Divide each side by '-14'.
k = 8

Simplifying
k = 8

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