6(2k-3)=2(7k+5)

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Solution for 6(2k-3)=2(7k+5) equation:


Simplifying
6(2k + -3) = 2(7k + 5)

Reorder the terms:
6(-3 + 2k) = 2(7k + 5)
(-3 * 6 + 2k * 6) = 2(7k + 5)
(-18 + 12k) = 2(7k + 5)

Reorder the terms:
-18 + 12k = 2(5 + 7k)
-18 + 12k = (5 * 2 + 7k * 2)
-18 + 12k = (10 + 14k)

Solving
-18 + 12k = 10 + 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.
-18 + 12k + -14k = 10 + 14k + -14k

Combine like terms: 12k + -14k = -2k
-18 + -2k = 10 + 14k + -14k

Combine like terms: 14k + -14k = 0
-18 + -2k = 10 + 0
-18 + -2k = 10

Add '18' to each side of the equation.
-18 + 18 + -2k = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -2k = 10 + 18
-2k = 10 + 18

Combine like terms: 10 + 18 = 28
-2k = 28

Divide each side by '-2'.
k = -14

Simplifying
k = -14

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