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

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

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

Remove parenthesis around (1 + 4r)
1 + 4r + (3 + -5r) = 0

Remove parenthesis around (3 + -5r)
1 + 4r + 3 + -5r = 0

Reorder the terms:
1 + 3 + 4r + -5r = 0

Combine like terms: 1 + 3 = 4
4 + 4r + -5r = 0

Combine like terms: 4r + -5r = -1r
4 + -1r = 0

Solving
4 + -1r = 0

Solving for variable 'r'.

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4