-5k-2(-8k-5)=22+7k

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Solution for -5k-2(-8k-5)=22+7k equation:


Simplifying
-5k + -2(-8k + -5) = 22 + 7k

Reorder the terms:
-5k + -2(-5 + -8k) = 22 + 7k
-5k + (-5 * -2 + -8k * -2) = 22 + 7k
-5k + (10 + 16k) = 22 + 7k

Reorder the terms:
10 + -5k + 16k = 22 + 7k

Combine like terms: -5k + 16k = 11k
10 + 11k = 22 + 7k

Solving
10 + 11k = 22 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
10 + 11k + -7k = 22 + 7k + -7k

Combine like terms: 11k + -7k = 4k
10 + 4k = 22 + 7k + -7k

Combine like terms: 7k + -7k = 0
10 + 4k = 22 + 0
10 + 4k = 22

Add '-10' to each side of the equation.
10 + -10 + 4k = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4k = 22 + -10
4k = 22 + -10

Combine like terms: 22 + -10 = 12
4k = 12

Divide each side by '4'.
k = 3

Simplifying
k = 3

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