2(3k+5)=17+7k

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Solution for 2(3k+5)=17+7k equation:


Simplifying
2(3k + 5) = 17 + 7k

Reorder the terms:
2(5 + 3k) = 17 + 7k
(5 * 2 + 3k * 2) = 17 + 7k
(10 + 6k) = 17 + 7k

Solving
10 + 6k = 17 + 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 + 6k + -7k = 17 + 7k + -7k

Combine like terms: 6k + -7k = -1k
10 + -1k = 17 + 7k + -7k

Combine like terms: 7k + -7k = 0
10 + -1k = 17 + 0
10 + -1k = 17

Add '-10' to each side of the equation.
10 + -10 + -1k = 17 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 17 + -10
-1k = 17 + -10

Combine like terms: 17 + -10 = 7
-1k = 7

Divide each side by '-1'.
k = -7

Simplifying
k = -7

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