(9k+1)+(10k+8)=180

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Solution for (9k+1)+(10k+8)=180 equation:


Simplifying
(9k + 1) + (10k + 8) = 180

Reorder the terms:
(1 + 9k) + (10k + 8) = 180

Remove parenthesis around (1 + 9k)
1 + 9k + (10k + 8) = 180

Reorder the terms:
1 + 9k + (8 + 10k) = 180

Remove parenthesis around (8 + 10k)
1 + 9k + 8 + 10k = 180

Reorder the terms:
1 + 8 + 9k + 10k = 180

Combine like terms: 1 + 8 = 9
9 + 9k + 10k = 180

Combine like terms: 9k + 10k = 19k
9 + 19k = 180

Solving
9 + 19k = 180

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + 19k = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 19k = 180 + -9
19k = 180 + -9

Combine like terms: 180 + -9 = 171
19k = 171

Divide each side by '19'.
k = 9

Simplifying
k = 9

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