r+(r+10)+(r-13)=723

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Solution for r+(r+10)+(r-13)=723 equation:


Simplifying
r + (r + 10) + (r + -13) = 723

Reorder the terms:
r + (10 + r) + (r + -13) = 723

Remove parenthesis around (10 + r)
r + 10 + r + (r + -13) = 723

Reorder the terms:
r + 10 + r + (-13 + r) = 723

Remove parenthesis around (-13 + r)
r + 10 + r + -13 + r = 723

Reorder the terms:
10 + -13 + r + r + r = 723

Combine like terms: 10 + -13 = -3
-3 + r + r + r = 723

Combine like terms: r + r = 2r
-3 + 2r + r = 723

Combine like terms: 2r + r = 3r
-3 + 3r = 723

Solving
-3 + 3r = 723

Solving for variable 'r'.

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

Add '3' to each side of the equation.
-3 + 3 + 3r = 723 + 3

Combine like terms: -3 + 3 = 0
0 + 3r = 723 + 3
3r = 723 + 3

Combine like terms: 723 + 3 = 726
3r = 726

Divide each side by '3'.
r = 242

Simplifying
r = 242

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