0.09k+0.11(k+100)=91

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Solution for 0.09k+0.11(k+100)=91 equation: 


Simplifying
0.09k + 0.11(k + 100) = 91

Reorder the terms:
0.09k + 0.11(100 + k) = 91
0.09k + (100 * 0.11 + k * 0.11) = 91
0.09k + (11 + 0.11k) = 91

Reorder the terms:
11 + 0.09k + 0.11k = 91

Combine like terms: 0.09k + 0.11k = 0.2k
11 + 0.2k = 91

Solving
11 + 0.2k = 91

Solving for variable 'k'.

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

Add '-11' to each side of the equation.
11 + -11 + 0.2k = 91 + -11

Combine like terms: 11 + -11 = 0
0 + 0.2k = 91 + -11
0.2k = 91 + -11

Combine like terms: 91 + -11 = 80
0.2k = 80

Divide each side by '0.2'.
k = 400

Simplifying
k = 400

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