4(r+1)=3r-1

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

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

Reorder the terms:
4(1 + r) = 3r + -1
(1 * 4 + r * 4) = 3r + -1
(4 + 4r) = 3r + -1

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

Solving
4 + 4r = -1 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
4 + 4r + -3r = -1 + 3r + -3r

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

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

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

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

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

Divide each side by '1'.
r = -5

Simplifying
r = -5