2(2k+3)+2=11(k-5)

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Solution for 2(2k+3)+2=11(k-5) equation:


Simplifying
2(2k + 3) + 2 = 11(k + -5)

Reorder the terms:
2(3 + 2k) + 2 = 11(k + -5)
(3 * 2 + 2k * 2) + 2 = 11(k + -5)
(6 + 4k) + 2 = 11(k + -5)

Reorder the terms:
6 + 2 + 4k = 11(k + -5)

Combine like terms: 6 + 2 = 8
8 + 4k = 11(k + -5)

Reorder the terms:
8 + 4k = 11(-5 + k)
8 + 4k = (-5 * 11 + k * 11)
8 + 4k = (-55 + 11k)

Solving
8 + 4k = -55 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
8 + 4k + -11k = -55 + 11k + -11k

Combine like terms: 4k + -11k = -7k
8 + -7k = -55 + 11k + -11k

Combine like terms: 11k + -11k = 0
8 + -7k = -55 + 0
8 + -7k = -55

Add '-8' to each side of the equation.
8 + -8 + -7k = -55 + -8

Combine like terms: 8 + -8 = 0
0 + -7k = -55 + -8
-7k = -55 + -8

Combine like terms: -55 + -8 = -63
-7k = -63

Divide each side by '-7'.
k = 9

Simplifying
k = 9

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