3(4-7k)=-2(2-k)

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Solution for 3(4-7k)=-2(2-k) equation: 


Simplifying
3(4 + -7k) = -2(2 + -1k)
(4 * 3 + -7k * 3) = -2(2 + -1k)
(12 + -21k) = -2(2 + -1k)
12 + -21k = (2 * -2 + -1k * -2)
12 + -21k = (-4 + 2k)

Solving
12 + -21k = -4 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
12 + -21k + -2k = -4 + 2k + -2k

Combine like terms: -21k + -2k = -23k
12 + -23k = -4 + 2k + -2k

Combine like terms: 2k + -2k = 0
12 + -23k = -4 + 0
12 + -23k = -4

Add '-12' to each side of the equation.
12 + -12 + -23k = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -23k = -4 + -12
-23k = -4 + -12

Combine like terms: -4 + -12 = -16
-23k = -16

Divide each side by '-23'.
k = 0.6956521739

Simplifying
k = 0.6956521739

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