7r+3=3(r-1)

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

Simplifying
7r + 3 = 3(r + -1)

Reorder the terms:
3 + 7r = 3(r + -1)

Reorder the terms:
3 + 7r = 3(-1 + r)
3 + 7r = (-1 * 3 + r * 3)
3 + 7r = (-3 + 3r)

Solving
3 + 7r = -3 + 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.
3 + 7r + -3r = -3 + 3r + -3r

Combine like terms: 7r + -3r = 4r
3 + 4r = -3 + 3r + -3r

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

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

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

Combine like terms: -3 + -3 = -6
4r = -6

Divide each side by '4'.
r = -1.5

Simplifying
r = -1.5