-2k-4(-5k+6)=-(1-2k)-7k

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Solution for -2k-4(-5k+6)=-(1-2k)-7k equation: 


Simplifying
-2k + -4(-5k + 6) = -1(1 + -2k) + -7k

Reorder the terms:
-2k + -4(6 + -5k) = -1(1 + -2k) + -7k
-2k + (6 * -4 + -5k * -4) = -1(1 + -2k) + -7k
-2k + (-24 + 20k) = -1(1 + -2k) + -7k

Reorder the terms:
-24 + -2k + 20k = -1(1 + -2k) + -7k

Combine like terms: -2k + 20k = 18k
-24 + 18k = -1(1 + -2k) + -7k
-24 + 18k = (1 * -1 + -2k * -1) + -7k
-24 + 18k = (-1 + 2k) + -7k

Combine like terms: 2k + -7k = -5k
-24 + 18k = -1 + -5k

Solving
-24 + 18k = -1 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-24 + 18k + 5k = -1 + -5k + 5k

Combine like terms: 18k + 5k = 23k
-24 + 23k = -1 + -5k + 5k

Combine like terms: -5k + 5k = 0
-24 + 23k = -1 + 0
-24 + 23k = -1

Add '24' to each side of the equation.
-24 + 24 + 23k = -1 + 24

Combine like terms: -24 + 24 = 0
0 + 23k = -1 + 24
23k = -1 + 24

Combine like terms: -1 + 24 = 23
23k = 23

Divide each side by '23'.
k = 1

Simplifying
k = 1

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