(5k+20)+(3k+16)=180

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Solution for (5k+20)+(3k+16)=180 equation:


Simplifying
(5k + 20) + (3k + 16) = 180

Reorder the terms:
(20 + 5k) + (3k + 16) = 180

Remove parenthesis around (20 + 5k)
20 + 5k + (3k + 16) = 180

Reorder the terms:
20 + 5k + (16 + 3k) = 180

Remove parenthesis around (16 + 3k)
20 + 5k + 16 + 3k = 180

Reorder the terms:
20 + 16 + 5k + 3k = 180

Combine like terms: 20 + 16 = 36
36 + 5k + 3k = 180

Combine like terms: 5k + 3k = 8k
36 + 8k = 180

Solving
36 + 8k = 180

Solving for variable 'k'.

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

Add '-36' to each side of the equation.
36 + -36 + 8k = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 8k = 180 + -36
8k = 180 + -36

Combine like terms: 180 + -36 = 144
8k = 144

Divide each side by '8'.
k = 18

Simplifying
k = 18

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