[k+7]=3k-11

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Solution for [k+7]=3k-11 equation:


Simplifying
[k + 7] = 3k + -11

Reorder the terms:
[7 + k] = 3k + -11

Remove brackets around [7 + k]
7 + k = 3k + -11

Reorder the terms:
7 + k = -11 + 3k

Solving
7 + k = -11 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
7 + k + -3k = -11 + 3k + -3k

Combine like terms: k + -3k = -2k
7 + -2k = -11 + 3k + -3k

Combine like terms: 3k + -3k = 0
7 + -2k = -11 + 0
7 + -2k = -11

Add '-7' to each side of the equation.
7 + -7 + -2k = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -2k = -11 + -7
-2k = -11 + -7

Combine like terms: -11 + -7 = -18
-2k = -18

Divide each side by '-2'.
k = 9

Simplifying
k = 9

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