5k-k-7=2(2k-1)-5k

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


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

Reorder the terms:
-7 + 5k + -1k = 2(2k + -1) + -5k

Combine like terms: 5k + -1k = 4k
-7 + 4k = 2(2k + -1) + -5k

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

Combine like terms: 4k + -5k = -1k
-7 + 4k = -2 + -1k

Solving
-7 + 4k = -2 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-7 + 4k + k = -2 + -1k + k

Combine like terms: 4k + k = 5k
-7 + 5k = -2 + -1k + k

Combine like terms: -1k + k = 0
-7 + 5k = -2 + 0
-7 + 5k = -2

Add '7' to each side of the equation.
-7 + 7 + 5k = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 5k = -2 + 7
5k = -2 + 7

Combine like terms: -2 + 7 = 5
5k = 5

Divide each side by '5'.
k = 1

Simplifying
k = 1

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