k+(k-10)-(k+1)=180

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


Simplifying
k + (k + -10) + -1(k + 1) = 180

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

Remove parenthesis around (-10 + k)
k + -10 + k + -1(k + 1) = 180

Reorder the terms:
k + -10 + k + -1(1 + k) = 180
k + -10 + k + (1 * -1 + k * -1) = 180
k + -10 + k + (-1 + -1k) = 180

Reorder the terms:
-10 + -1 + k + k + -1k = 180

Combine like terms: -10 + -1 = -11
-11 + k + k + -1k = 180

Combine like terms: k + k = 2k
-11 + 2k + -1k = 180

Combine like terms: 2k + -1k = 1k
-11 + 1k = 180

Solving
-11 + 1k = 180

Solving for variable 'k'.

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

Add '11' to each side of the equation.
-11 + 11 + 1k = 180 + 11

Combine like terms: -11 + 11 = 0
0 + 1k = 180 + 11
1k = 180 + 11

Combine like terms: 180 + 11 = 191
1k = 191

Divide each side by '1'.
k = 191

Simplifying
k = 191

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