3(5r+2)-4(r-7)=

Solution for 3(5r+2)-4(r-7)= equation:

Simplifying
3(5r + 2) + -4(r + -7) = 0

Reorder the terms:
3(2 + 5r) + -4(r + -7) = 0
(2 * 3 + 5r * 3) + -4(r + -7) = 0
(6 + 15r) + -4(r + -7) = 0

Reorder the terms:
6 + 15r + -4(-7 + r) = 0
6 + 15r + (-7 * -4 + r * -4) = 0
6 + 15r + (28 + -4r) = 0

Reorder the terms:
6 + 28 + 15r + -4r = 0

Combine like terms: 6 + 28 = 34
34 + 15r + -4r = 0

Combine like terms: 15r + -4r = 11r
34 + 11r = 0

Solving
34 + 11r = 0

Solving for variable 'r'.

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

Add '-34' to each side of the equation.
34 + -34 + 11r = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 11r = 0 + -34
11r = 0 + -34

Combine like terms: 0 + -34 = -34
11r = -34

Divide each side by '11'.
r = -3.090909091

Simplifying
r = -3.090909091