6(k+6)=2k+7

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Solution for 6(k+6)=2k+7 equation: 


Simplifying
6(k + 6) = 2k + 7

Reorder the terms:
6(6 + k) = 2k + 7
(6 * 6 + k * 6) = 2k + 7
(36 + 6k) = 2k + 7

Reorder the terms:
36 + 6k = 7 + 2k

Solving
36 + 6k = 7 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
36 + 6k + -2k = 7 + 2k + -2k

Combine like terms: 6k + -2k = 4k
36 + 4k = 7 + 2k + -2k

Combine like terms: 2k + -2k = 0
36 + 4k = 7 + 0
36 + 4k = 7

Add '-36' to each side of the equation.
36 + -36 + 4k = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 4k = 7 + -36
4k = 7 + -36

Combine like terms: 7 + -36 = -29
4k = -29

Divide each side by '4'.
k = -7.25

Simplifying
k = -7.25

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