31=6+7(k+8)

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Solution for 31=6+7(k+8) equation: 


Simplifying
31 = 6 + 7(k + 8)

Reorder the terms:
31 = 6 + 7(8 + k)
31 = 6 + (8 * 7 + k * 7)
31 = 6 + (56 + 7k)

Combine like terms: 6 + 56 = 62
31 = 62 + 7k

Solving
31 = 62 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
31 + -7k = 62 + 7k + -7k

Combine like terms: 7k + -7k = 0
31 + -7k = 62 + 0
31 + -7k = 62

Add '-31' to each side of the equation.
31 + -31 + -7k = 62 + -31

Combine like terms: 31 + -31 = 0
0 + -7k = 62 + -31
-7k = 62 + -31

Combine like terms: 62 + -31 = 31
-7k = 31

Divide each side by '-7'.
k = -4.428571429

Simplifying
k = -4.428571429

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