2(k+6)3=14-k-5+5k

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Solution for 2(k+6)3=14-k-5+5k equation:


Simplifying
2(k + 6) * 3 = 14 + -1k + -5 + 5k

Reorder the terms:
2(6 + k) * 3 = 14 + -1k + -5 + 5k

Reorder the terms for easier multiplication:
2 * 3(6 + k) = 14 + -1k + -5 + 5k

Multiply 2 * 3
6(6 + k) = 14 + -1k + -5 + 5k
(6 * 6 + k * 6) = 14 + -1k + -5 + 5k
(36 + 6k) = 14 + -1k + -5 + 5k

Reorder the terms:
36 + 6k = 14 + -5 + -1k + 5k

Combine like terms: 14 + -5 = 9
36 + 6k = 9 + -1k + 5k

Combine like terms: -1k + 5k = 4k
36 + 6k = 9 + 4k

Solving
36 + 6k = 9 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
36 + 6k + -4k = 9 + 4k + -4k

Combine like terms: 6k + -4k = 2k
36 + 2k = 9 + 4k + -4k

Combine like terms: 4k + -4k = 0
36 + 2k = 9 + 0
36 + 2k = 9

Add '-36' to each side of the equation.
36 + -36 + 2k = 9 + -36

Combine like terms: 36 + -36 = 0
0 + 2k = 9 + -36
2k = 9 + -36

Combine like terms: 9 + -36 = -27
2k = -27

Divide each side by '2'.
k = -13.5

Simplifying
k = -13.5

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