2(1-5r)+3(6+7)+46=0

Solution for 2(1-5r)+3(6+7)+46=0 equation:

Simplifying
2(1 + -5r) + 3(6 + 7) + 46 = 0
(1 * 2 + -5r * 2) + 3(6 + 7) + 46 = 0
(2 + -10r) + 3(6 + 7) + 46 = 0

Combine like terms: 6 + 7 = 13
2 + -10r + 3(13) + 46 = 0

Multiply 3 * 13
2 + -10r + 39 + 46 = 0

Reorder the terms:
2 + 39 + 46 + -10r = 0

Combine like terms: 2 + 39 = 41
41 + 46 + -10r = 0

Combine like terms: 41 + 46 = 87
87 + -10r = 0

Solving
87 + -10r = 0

Solving for variable 'r'.

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

Add '-87' to each side of the equation.
87 + -87 + -10r = 0 + -87

Combine like terms: 87 + -87 = 0
0 + -10r = 0 + -87
-10r = 0 + -87

Combine like terms: 0 + -87 = -87
-10r = -87

Divide each side by '-10'.
r = 8.7

Simplifying
r = 8.7