6(k+6)=9k+1

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Solution for 6(k+6)=9k+1 equation: 


Simplifying
6(k + 6) = 9k + 1

Reorder the terms:
6(6 + k) = 9k + 1
(6 * 6 + k * 6) = 9k + 1
(36 + 6k) = 9k + 1

Reorder the terms:
36 + 6k = 1 + 9k

Solving
36 + 6k = 1 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
36 + 6k + -9k = 1 + 9k + -9k

Combine like terms: 6k + -9k = -3k
36 + -3k = 1 + 9k + -9k

Combine like terms: 9k + -9k = 0
36 + -3k = 1 + 0
36 + -3k = 1

Add '-36' to each side of the equation.
36 + -36 + -3k = 1 + -36

Combine like terms: 36 + -36 = 0
0 + -3k = 1 + -36
-3k = 1 + -36

Combine like terms: 1 + -36 = -35
-3k = -35

Divide each side by '-3'.
k = 11.66666667

Simplifying
k = 11.66666667

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