(2+(2-(2+(2-(2+r)))))=1

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Solution for (2+(2-(2+(2-(2+r)))))=1 equation: 


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

Combine like terms: 2 + -2 = 0
(2 + (2 + -1(2 + (0 + -1r)))) = 1
(2 + (2 + -1(2 + (-1r)))) = 1
(2 + (2 + -1(2 + (-1r)))) = 1
(2 + (2 + (2 * -1 + (-1r) * -1))) = 1
(2 + (2 + (-2 + 1r))) = 1

Combine like terms: 2 + -2 = 0
(2 + (0 + 1r)) = 1
(2 + (1r)) = 1
(2 + (1r)) = 1

Remove parenthesis around (2 + (1r))
2 + (1r) = 1

Solving
2 + (1r) = 1

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + (1r) = 1 + -2

Combine like terms: 2 + -2 = 0
0 + (1r) = 1 + -2
(1r) = 1 + -2

Combine like terms: 1 + -2 = -1
(1r) = -1

Divide each side by '1'.
r = -1

Simplifying
r = -1

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