-k-3k=2(k+2)-2(4k-2)

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Solution for -k-3k=2(k+2)-2(4k-2) equation:


Simplifying
-1k + -3k = 2(k + 2) + -2(4k + -2)

Combine like terms: -1k + -3k = -4k
-4k = 2(k + 2) + -2(4k + -2)

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

Reorder the terms:
-4k = 4 + 2k + -2(-2 + 4k)
-4k = 4 + 2k + (-2 * -2 + 4k * -2)
-4k = 4 + 2k + (4 + -8k)

Reorder the terms:
-4k = 4 + 4 + 2k + -8k

Combine like terms: 4 + 4 = 8
-4k = 8 + 2k + -8k

Combine like terms: 2k + -8k = -6k
-4k = 8 + -6k

Solving
-4k = 8 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-4k + 6k = 8 + -6k + 6k

Combine like terms: -4k + 6k = 2k
2k = 8 + -6k + 6k

Combine like terms: -6k + 6k = 0
2k = 8 + 0
2k = 8

Divide each side by '2'.
k = 4

Simplifying
k = 4

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