5r+5r=7(6r+2)+(6-3r)

Solution for 5r+5r=7(6r+2)+(6-3r) equation:

Simplifying
5r + 5r = 7(6r + 2) + (6 + -3r)

Combine like terms: 5r + 5r = 10r
10r = 7(6r + 2) + (6 + -3r)

Reorder the terms:
10r = 7(2 + 6r) + (6 + -3r)
10r = (2 * 7 + 6r * 7) + (6 + -3r)
10r = (14 + 42r) + (6 + -3r)

Remove parenthesis around (6 + -3r)
10r = 14 + 42r + 6 + -3r

Reorder the terms:
10r = 14 + 6 + 42r + -3r

Combine like terms: 14 + 6 = 20
10r = 20 + 42r + -3r

Combine like terms: 42r + -3r = 39r
10r = 20 + 39r

Solving
10r = 20 + 39r

Solving for variable 'r'.

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

Add '-39r' to each side of the equation.
10r + -39r = 20 + 39r + -39r

Combine like terms: 10r + -39r = -29r
-29r = 20 + 39r + -39r

Combine like terms: 39r + -39r = 0
-29r = 20 + 0
-29r = 20

Divide each side by '-29'.
r = -0.6896551724

Simplifying
r = -0.6896551724