(3k+20)+(k+50)+(2k-10)=180

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Solution for (3k+20)+(k+50)+(2k-10)=180 equation:


Simplifying
(3k + 20) + (k + 50) + (2k + -10) = 180

Reorder the terms:
(20 + 3k) + (k + 50) + (2k + -10) = 180

Remove parenthesis around (20 + 3k)
20 + 3k + (k + 50) + (2k + -10) = 180

Reorder the terms:
20 + 3k + (50 + k) + (2k + -10) = 180

Remove parenthesis around (50 + k)
20 + 3k + 50 + k + (2k + -10) = 180

Reorder the terms:
20 + 3k + 50 + k + (-10 + 2k) = 180

Remove parenthesis around (-10 + 2k)
20 + 3k + 50 + k + -10 + 2k = 180

Reorder the terms:
20 + 50 + -10 + 3k + k + 2k = 180

Combine like terms: 20 + 50 = 70
70 + -10 + 3k + k + 2k = 180

Combine like terms: 70 + -10 = 60
60 + 3k + k + 2k = 180

Combine like terms: 3k + k = 4k
60 + 4k + 2k = 180

Combine like terms: 4k + 2k = 6k
60 + 6k = 180

Solving
60 + 6k = 180

Solving for variable 'k'.

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

Add '-60' to each side of the equation.
60 + -60 + 6k = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 6k = 180 + -60
6k = 180 + -60

Combine like terms: 180 + -60 = 120
6k = 120

Divide each side by '6'.
k = 20

Simplifying
k = 20

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