-7(-5r-1)+2(4-3r)=

Solution for -7(-5r-1)+2(4-3r)= equation:

Simplifying
-7(-5r + -1) + 2(4 + -3r) = 0

Reorder the terms:
-7(-1 + -5r) + 2(4 + -3r) = 0
(-1 * -7 + -5r * -7) + 2(4 + -3r) = 0
(7 + 35r) + 2(4 + -3r) = 0
7 + 35r + (4 * 2 + -3r * 2) = 0
7 + 35r + (8 + -6r) = 0

Reorder the terms:
7 + 8 + 35r + -6r = 0

Combine like terms: 7 + 8 = 15
15 + 35r + -6r = 0

Combine like terms: 35r + -6r = 29r
15 + 29r = 0

Solving
15 + 29r = 0

Solving for variable 'r'.

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

Add '-15' to each side of the equation.
15 + -15 + 29r = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 29r = 0 + -15
29r = 0 + -15

Combine like terms: 0 + -15 = -15
29r = -15

Divide each side by '29'.
r = -0.5172413793

Simplifying
r = -0.5172413793