7k-2(3k+7)=5+14k

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Solution for 7k-2(3k+7)=5+14k equation:


Simplifying
7k + -2(3k + 7) = 5 + 14k

Reorder the terms:
7k + -2(7 + 3k) = 5 + 14k
7k + (7 * -2 + 3k * -2) = 5 + 14k
7k + (-14 + -6k) = 5 + 14k

Reorder the terms:
-14 + 7k + -6k = 5 + 14k

Combine like terms: 7k + -6k = 1k
-14 + 1k = 5 + 14k

Solving
-14 + 1k = 5 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
-14 + 1k + -14k = 5 + 14k + -14k

Combine like terms: 1k + -14k = -13k
-14 + -13k = 5 + 14k + -14k

Combine like terms: 14k + -14k = 0
-14 + -13k = 5 + 0
-14 + -13k = 5

Add '14' to each side of the equation.
-14 + 14 + -13k = 5 + 14

Combine like terms: -14 + 14 = 0
0 + -13k = 5 + 14
-13k = 5 + 14

Combine like terms: 5 + 14 = 19
-13k = 19

Divide each side by '-13'.
k = -1.461538462

Simplifying
k = -1.461538462

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