k+(k+8)+(k-16)=189

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Solution for k+(k+8)+(k-16)=189 equation:


Simplifying
k + (k + 8) + (k + -16) = 189

Reorder the terms:
k + (8 + k) + (k + -16) = 189

Remove parenthesis around (8 + k)
k + 8 + k + (k + -16) = 189

Reorder the terms:
k + 8 + k + (-16 + k) = 189

Remove parenthesis around (-16 + k)
k + 8 + k + -16 + k = 189

Reorder the terms:
8 + -16 + k + k + k = 189

Combine like terms: 8 + -16 = -8
-8 + k + k + k = 189

Combine like terms: k + k = 2k
-8 + 2k + k = 189

Combine like terms: 2k + k = 3k
-8 + 3k = 189

Solving
-8 + 3k = 189

Solving for variable 'k'.

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

Add '8' to each side of the equation.
-8 + 8 + 3k = 189 + 8

Combine like terms: -8 + 8 = 0
0 + 3k = 189 + 8
3k = 189 + 8

Combine like terms: 189 + 8 = 197
3k = 197

Divide each side by '3'.
k = 65.66666667

Simplifying
k = 65.66666667

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