6r+(21+13r)=87+(11r-10)

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Solution for 6r+(21+13r)=87+(11r-10) equation: 


Simplifying
6r + (21 + 13r) = 87 + (11r + -10)

Remove parenthesis around (21 + 13r)
6r + 21 + 13r = 87 + (11r + -10)

Reorder the terms:
21 + 6r + 13r = 87 + (11r + -10)

Combine like terms: 6r + 13r = 19r
21 + 19r = 87 + (11r + -10)

Reorder the terms:
21 + 19r = 87 + (-10 + 11r)

Remove parenthesis around (-10 + 11r)
21 + 19r = 87 + -10 + 11r

Combine like terms: 87 + -10 = 77
21 + 19r = 77 + 11r

Solving
21 + 19r = 77 + 11r

Solving for variable 'r'.

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

Add '-11r' to each side of the equation.
21 + 19r + -11r = 77 + 11r + -11r

Combine like terms: 19r + -11r = 8r
21 + 8r = 77 + 11r + -11r

Combine like terms: 11r + -11r = 0
21 + 8r = 77 + 0
21 + 8r = 77

Add '-21' to each side of the equation.
21 + -21 + 8r = 77 + -21

Combine like terms: 21 + -21 = 0
0 + 8r = 77 + -21
8r = 77 + -21

Combine like terms: 77 + -21 = 56
8r = 56

Divide each side by '8'.
r = 7

Simplifying
r = 7

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