2(k+1)+9=8k-11

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Solution for 2(k+1)+9=8k-11 equation: 


Simplifying
2(k + 1) + 9 = 8k + -11

Reorder the terms:
2(1 + k) + 9 = 8k + -11
(1 * 2 + k * 2) + 9 = 8k + -11
(2 + 2k) + 9 = 8k + -11

Reorder the terms:
2 + 9 + 2k = 8k + -11

Combine like terms: 2 + 9 = 11
11 + 2k = 8k + -11

Reorder the terms:
11 + 2k = -11 + 8k

Solving
11 + 2k = -11 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
11 + 2k + -8k = -11 + 8k + -8k

Combine like terms: 2k + -8k = -6k
11 + -6k = -11 + 8k + -8k

Combine like terms: 8k + -8k = 0
11 + -6k = -11 + 0
11 + -6k = -11

Add '-11' to each side of the equation.
11 + -11 + -6k = -11 + -11

Combine like terms: 11 + -11 = 0
0 + -6k = -11 + -11
-6k = -11 + -11

Combine like terms: -11 + -11 = -22
-6k = -22

Divide each side by '-6'.
k = 3.666666667

Simplifying
k = 3.666666667

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