k+9=6[k-11]

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Solution for k+9=6[k-11] equation:


Simplifying
k + 9 = 6[k + -11]

Reorder the terms:
9 + k = 6[k + -11]

Reorder the terms:
9 + k = 6[-11 + k]
9 + k = [-11 * 6 + k * 6]
9 + k = [-66 + 6k]

Solving
9 + k = -66 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
9 + k + -6k = -66 + 6k + -6k

Combine like terms: k + -6k = -5k
9 + -5k = -66 + 6k + -6k

Combine like terms: 6k + -6k = 0
9 + -5k = -66 + 0
9 + -5k = -66

Add '-9' to each side of the equation.
9 + -9 + -5k = -66 + -9

Combine like terms: 9 + -9 = 0
0 + -5k = -66 + -9
-5k = -66 + -9

Combine like terms: -66 + -9 = -75
-5k = -75

Divide each side by '-5'.
k = 15

Simplifying
k = 15

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