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

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


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

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

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

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

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

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

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

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

Combine like terms: r + r = 2r
63 = 2r + r

Combine like terms: 2r + r = 3r
63 = 3r

Solving
63 = 3r

Solving for variable 'r'.

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

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

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

Add '-63' to each side of the equation.
63 + -63 + -3r = 0 + -63

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

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

Divide each side by '-3'.
r = 21

Simplifying
r = 21

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