r+(k-r)+k+(k-r)=63

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Solution for r+(k-r)+k+(k-r)=63 equation: 


Simplifying
r + (k + -1r) + k + (k + -1r) = 63

Remove parenthesis around (k + -1r)
r + k + -1r + k + (k + -1r) = 63

Remove parenthesis around (k + -1r)
r + k + -1r + k + k + -1r = 63

Reorder the terms:
k + k + k + r + -1r + -1r = 63

Combine like terms: k + k = 2k
2k + k + r + -1r + -1r = 63

Combine like terms: 2k + k = 3k
3k + r + -1r + -1r = 63

Combine like terms: r + -1r = 0
3k + 0 + -1r = 63
3k + -1r = 63

Solving
3k + -1r = 63

Solving for variable 'k'.

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

Add 'r' to each side of the equation.
3k + -1r + r = 63 + r

Combine like terms: -1r + r = 0
3k + 0 = 63 + r
3k = 63 + r

Divide each side by '3'.
k = 21 + 0.3333333333r

Simplifying
k = 21 + 0.3333333333r

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