63=2k+(k-r)+r+(k-r)

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Solution for 63=2k+(k-r)+r+(k-r) equation: 


Simplifying
63 = 2k + (k + -1r) + r + (k + -1r)

Remove parenthesis around (k + -1r)
63 = 2k + k + -1r + r + (k + -1r)

Remove parenthesis around (k + -1r)
63 = 2k + k + -1r + r + k + -1r

Reorder the terms:
63 = 2k + k + k + -1r + r + -1r

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

Combine like terms: 3k + k = 4k
63 = 4k + -1r + r + -1r

Combine like terms: -1r + r = 0
63 = 4k + 0 + -1r
63 = 4k + -1r

Solving
63 = 4k + -1r

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
63 + -4k = 4k + -4k + -1r

Combine like terms: 4k + -4k = 0
63 + -4k = 0 + -1r
63 + -4k = -1r

Add '-63' to each side of the equation.
63 + -63 + -4k = -63 + -1r

Combine like terms: 63 + -63 = 0
0 + -4k = -63 + -1r
-4k = -63 + -1r

Divide each side by '-4'.
k = 15.75 + 0.25r

Simplifying
k = 15.75 + 0.25r

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