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

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


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

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

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

Combine like terms: k + 3k = 4k
-2k + -1k + 1r + k + -1r + k + (4k + -1r) = 63

Remove parenthesis around (4k + -1r)
-2k + -1k + 1r + k + -1r + k + 4k + -1r = 63

Reorder the terms:
-2k + -1k + k + k + 4k + 1r + -1r + -1r = 63

Combine like terms: -2k + -1k = -3k
-3k + k + k + 4k + 1r + -1r + -1r = 63

Combine like terms: -3k + k = -2k
-2k + k + 4k + 1r + -1r + -1r = 63

Combine like terms: -2k + k = -1k
-1k + 4k + 1r + -1r + -1r = 63

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

Combine like terms: 1r + -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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