6+(k+1)=6k+7

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Solution for 6+(k+1)=6k+7 equation: 


Simplifying
6 + (k + 1) = 6k + 7

Reorder the terms:
6 + (1 + k) = 6k + 7

Remove parenthesis around (1 + k)
6 + 1 + k = 6k + 7

Combine like terms: 6 + 1 = 7
7 + k = 6k + 7

Reorder the terms:
7 + k = 7 + 6k

Add '-7' to each side of the equation.
7 + -7 + k = 7 + -7 + 6k

Combine like terms: 7 + -7 = 0
0 + k = 7 + -7 + 6k
k = 7 + -7 + 6k

Combine like terms: 7 + -7 = 0
k = 0 + 6k
k = 6k

Solving
k = 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.
k + -6k = 6k + -6k

Combine like terms: k + -6k = -5k
-5k = 6k + -6k

Combine like terms: 6k + -6k = 0
-5k = 0

Divide each side by '-5'.
k = 0

Simplifying
k = 0

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