2(5k+8)+2k-1=30+2k+5k

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Solution for 2(5k+8)+2k-1=30+2k+5k equation: 


Simplifying
2(5k + 8) + 2k + -1 = 30 + 2k + 5k

Reorder the terms:
2(8 + 5k) + 2k + -1 = 30 + 2k + 5k
(8 * 2 + 5k * 2) + 2k + -1 = 30 + 2k + 5k
(16 + 10k) + 2k + -1 = 30 + 2k + 5k

Reorder the terms:
16 + -1 + 10k + 2k = 30 + 2k + 5k

Combine like terms: 16 + -1 = 15
15 + 10k + 2k = 30 + 2k + 5k

Combine like terms: 10k + 2k = 12k
15 + 12k = 30 + 2k + 5k

Combine like terms: 2k + 5k = 7k
15 + 12k = 30 + 7k

Solving
15 + 12k = 30 + 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.
15 + 12k + -7k = 30 + 7k + -7k

Combine like terms: 12k + -7k = 5k
15 + 5k = 30 + 7k + -7k

Combine like terms: 7k + -7k = 0
15 + 5k = 30 + 0
15 + 5k = 30

Add '-15' to each side of the equation.
15 + -15 + 5k = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 5k = 30 + -15
5k = 30 + -15

Combine like terms: 30 + -15 = 15
5k = 15

Divide each side by '5'.
k = 3

Simplifying
k = 3

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