7r-11=3-(r-10)

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Solution for 7r-11=3-(r-10) equation:


Simplifying
7r + -11 = 3 + -1(r + -10)

Reorder the terms:
-11 + 7r = 3 + -1(r + -10)

Reorder the terms:
-11 + 7r = 3 + -1(-10 + r)
-11 + 7r = 3 + (-10 * -1 + r * -1)
-11 + 7r = 3 + (10 + -1r)

Combine like terms: 3 + 10 = 13
-11 + 7r = 13 + -1r

Solving
-11 + 7r = 13 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-11 + 7r + r = 13 + -1r + r

Combine like terms: 7r + r = 8r
-11 + 8r = 13 + -1r + r

Combine like terms: -1r + r = 0
-11 + 8r = 13 + 0
-11 + 8r = 13

Add '11' to each side of the equation.
-11 + 11 + 8r = 13 + 11

Combine like terms: -11 + 11 = 0
0 + 8r = 13 + 11
8r = 13 + 11

Combine like terms: 13 + 11 = 24
8r = 24

Divide each side by '8'.
r = 3

Simplifying
r = 3

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