(-2-k)-(2k+18)=(2k+2)-(2k+18)

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Solution for (-2-k)-(2k+18)=(2k+2)-(2k+18) equation:


Simplifying
(-2 + -1k) + -1(2k + 18) = (2k + 2) + -1(2k + 18)

Remove parenthesis around (-2 + -1k)
-2 + -1k + -1(2k + 18) = (2k + 2) + -1(2k + 18)

Reorder the terms:
-2 + -1k + -1(18 + 2k) = (2k + 2) + -1(2k + 18)
-2 + -1k + (18 * -1 + 2k * -1) = (2k + 2) + -1(2k + 18)
-2 + -1k + (-18 + -2k) = (2k + 2) + -1(2k + 18)

Reorder the terms:
-2 + -18 + -1k + -2k = (2k + 2) + -1(2k + 18)

Combine like terms: -2 + -18 = -20
-20 + -1k + -2k = (2k + 2) + -1(2k + 18)

Combine like terms: -1k + -2k = -3k
-20 + -3k = (2k + 2) + -1(2k + 18)

Reorder the terms:
-20 + -3k = (2 + 2k) + -1(2k + 18)

Remove parenthesis around (2 + 2k)
-20 + -3k = 2 + 2k + -1(2k + 18)

Reorder the terms:
-20 + -3k = 2 + 2k + -1(18 + 2k)
-20 + -3k = 2 + 2k + (18 * -1 + 2k * -1)
-20 + -3k = 2 + 2k + (-18 + -2k)

Reorder the terms:
-20 + -3k = 2 + -18 + 2k + -2k

Combine like terms: 2 + -18 = -16
-20 + -3k = -16 + 2k + -2k

Combine like terms: 2k + -2k = 0
-20 + -3k = -16 + 0
-20 + -3k = -16

Solving
-20 + -3k = -16

Solving for variable 'k'.

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

Add '20' to each side of the equation.
-20 + 20 + -3k = -16 + 20

Combine like terms: -20 + 20 = 0
0 + -3k = -16 + 20
-3k = -16 + 20

Combine like terms: -16 + 20 = 4
-3k = 4

Divide each side by '-3'.
k = -1.333333333

Simplifying
k = -1.333333333

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