(5+r)-(6-r)=13

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Solution for (5+r)-(6-r)=13 equation:


Simplifying
(5 + r) + -1(6 + -1r) = 13

Remove parenthesis around (5 + r)
5 + r + -1(6 + -1r) = 13
5 + r + (6 * -1 + -1r * -1) = 13
5 + r + (-6 + 1r) = 13

Reorder the terms:
5 + -6 + r + 1r = 13

Combine like terms: 5 + -6 = -1
-1 + r + 1r = 13

Combine like terms: r + 1r = 2r
-1 + 2r = 13

Solving
-1 + 2r = 13

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + 1 + 2r = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 2r = 13 + 1
2r = 13 + 1

Combine like terms: 13 + 1 = 14
2r = 14

Divide each side by '2'.
r = 7

Simplifying
r = 7

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