5(k-13)+2(k-25)=11

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Solution for 5(k-13)+2(k-25)=11 equation: 


Simplifying
5(k + -13) + 2(k + -25) = 11

Reorder the terms:
5(-13 + k) + 2(k + -25) = 11
(-13 * 5 + k * 5) + 2(k + -25) = 11
(-65 + 5k) + 2(k + -25) = 11

Reorder the terms:
-65 + 5k + 2(-25 + k) = 11
-65 + 5k + (-25 * 2 + k * 2) = 11
-65 + 5k + (-50 + 2k) = 11

Reorder the terms:
-65 + -50 + 5k + 2k = 11

Combine like terms: -65 + -50 = -115
-115 + 5k + 2k = 11

Combine like terms: 5k + 2k = 7k
-115 + 7k = 11

Solving
-115 + 7k = 11

Solving for variable 'k'.

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

Add '115' to each side of the equation.
-115 + 115 + 7k = 11 + 115

Combine like terms: -115 + 115 = 0
0 + 7k = 11 + 115
7k = 11 + 115

Combine like terms: 11 + 115 = 126
7k = 126

Divide each side by '7'.
k = 18

Simplifying
k = 18

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