4(1-7k)=k-5(9k-4)

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Solution for 4(1-7k)=k-5(9k-4) equation: 


Simplifying
4(1 + -7k) = k + -5(9k + -4)
(1 * 4 + -7k * 4) = k + -5(9k + -4)
(4 + -28k) = k + -5(9k + -4)

Reorder the terms:
4 + -28k = k + -5(-4 + 9k)
4 + -28k = k + (-4 * -5 + 9k * -5)
4 + -28k = k + (20 + -45k)

Reorder the terms:
4 + -28k = 20 + k + -45k

Combine like terms: k + -45k = -44k
4 + -28k = 20 + -44k

Solving
4 + -28k = 20 + -44k

Solving for variable 'k'.

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

Add '44k' to each side of the equation.
4 + -28k + 44k = 20 + -44k + 44k

Combine like terms: -28k + 44k = 16k
4 + 16k = 20 + -44k + 44k

Combine like terms: -44k + 44k = 0
4 + 16k = 20 + 0
4 + 16k = 20

Add '-4' to each side of the equation.
4 + -4 + 16k = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 16k = 20 + -4
16k = 20 + -4

Combine like terms: 20 + -4 = 16
16k = 16

Divide each side by '16'.
k = 1

Simplifying
k = 1

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