4r-3=3(3r+t)

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

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

Reorder the terms:
-3 + 4r = 3(3r + t)
-3 + 4r = (3r * 3 + t * 3)
-3 + 4r = (9r + 3t)

Solving
-3 + 4r = 9r + 3t

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
-3 + 4r + -9r = 9r + -9r + 3t

Combine like terms: 4r + -9r = -5r
-3 + -5r = 9r + -9r + 3t

Combine like terms: 9r + -9r = 0
-3 + -5r = 0 + 3t
-3 + -5r = 3t

Add '3' to each side of the equation.
-3 + 3 + -5r = 3 + 3t

Combine like terms: -3 + 3 = 0
0 + -5r = 3 + 3t
-5r = 3 + 3t

Divide each side by '-5'.
r = -0.6 + -0.6t

Simplifying
r = -0.6 + -0.6t