-20=2(k-5)+6(1-k)

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Solution for -20=2(k-5)+6(1-k) equation:


Simplifying
-20 = 2(k + -5) + 6(1 + -1k)

Reorder the terms:
-20 = 2(-5 + k) + 6(1 + -1k)
-20 = (-5 * 2 + k * 2) + 6(1 + -1k)
-20 = (-10 + 2k) + 6(1 + -1k)
-20 = -10 + 2k + (1 * 6 + -1k * 6)
-20 = -10 + 2k + (6 + -6k)

Reorder the terms:
-20 = -10 + 6 + 2k + -6k

Combine like terms: -10 + 6 = -4
-20 = -4 + 2k + -6k

Combine like terms: 2k + -6k = -4k
-20 = -4 + -4k

Solving
-20 = -4 + -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.
-20 + 4k = -4 + -4k + 4k

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

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

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

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

Divide each side by '4'.
k = 4

Simplifying
k = 4

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