20+8(k+20)=-20-2k

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Solution for 20+8(k+20)=-20-2k equation: 


Simplifying
20 + 8(k + 20) = -20 + -2k

Reorder the terms:
20 + 8(20 + k) = -20 + -2k
20 + (20 * 8 + k * 8) = -20 + -2k
20 + (160 + 8k) = -20 + -2k

Combine like terms: 20 + 160 = 180
180 + 8k = -20 + -2k

Solving
180 + 8k = -20 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
180 + 8k + 2k = -20 + -2k + 2k

Combine like terms: 8k + 2k = 10k
180 + 10k = -20 + -2k + 2k

Combine like terms: -2k + 2k = 0
180 + 10k = -20 + 0
180 + 10k = -20

Add '-180' to each side of the equation.
180 + -180 + 10k = -20 + -180

Combine like terms: 180 + -180 = 0
0 + 10k = -20 + -180
10k = -20 + -180

Combine like terms: -20 + -180 = -200
10k = -200

Divide each side by '10'.
k = -20

Simplifying
k = -20

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