154=7(7k+1)

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Solution for 154=7(7k+1) equation: 


Simplifying
154 = 7(7k + 1)

Reorder the terms:
154 = 7(1 + 7k)
154 = (1 * 7 + 7k * 7)
154 = (7 + 49k)

Solving
154 = 7 + 49k

Solving for variable 'k'.

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

Add '-49k' to each side of the equation.
154 + -49k = 7 + 49k + -49k

Combine like terms: 49k + -49k = 0
154 + -49k = 7 + 0
154 + -49k = 7

Add '-154' to each side of the equation.
154 + -154 + -49k = 7 + -154

Combine like terms: 154 + -154 = 0
0 + -49k = 7 + -154
-49k = 7 + -154

Combine like terms: 7 + -154 = -147
-49k = -147

Divide each side by '-49'.
k = 3

Simplifying
k = 3

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