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

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


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

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

Reorder the terms:
-20 + 4k + -1(-1 + 7k) = -4k
-20 + 4k + (-1 * -1 + 7k * -1) = -4k
-20 + 4k + (1 + -7k) = -4k

Reorder the terms:
-20 + 1 + 4k + -7k = -4k

Combine like terms: -20 + 1 = -19
-19 + 4k + -7k = -4k

Combine like terms: 4k + -7k = -3k
-19 + -3k = -4k

Solving
-19 + -3k = -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-19 + -3k + 4k = -4k + 4k

Combine like terms: -3k + 4k = 1k
-19 + 1k = -4k + 4k

Combine like terms: -4k + 4k = 0
-19 + 1k = 0

Add '19' to each side of the equation.
-19 + 19 + 1k = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 1k = 0 + 19
1k = 0 + 19

Combine like terms: 0 + 19 = 19
1k = 19

Divide each side by '1'.
k = 19

Simplifying
k = 19

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