5k-(5+k)=-(4k+5)

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Solution for 5k-(5+k)=-(4k+5) equation:


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

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

Combine like terms: 5k + -1k = 4k
-5 + 4k = -1(4k + 5)

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

Add '5' to each side of the equation.
-5 + 5 + 4k = -5 + 5 + -4k

Combine like terms: -5 + 5 = 0
0 + 4k = -5 + 5 + -4k
4k = -5 + 5 + -4k

Combine like terms: -5 + 5 = 0
4k = 0 + -4k
4k = -4k

Solving
4k = -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.
4k + 4k = -4k + 4k

Combine like terms: 4k + 4k = 8k
8k = -4k + 4k

Combine like terms: -4k + 4k = 0
8k = 0

Divide each side by '8'.
k = 0

Simplifying
k = 0

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