3-4r=-7(r-6)

Solution for 3-4r=-7(r-6) equation:

Simplifying
3 + -4r = -7(r + -6)

Reorder the terms:
3 + -4r = -7(-6 + r)
3 + -4r = (-6 * -7 + r * -7)
3 + -4r = (42 + -7r)

Solving
3 + -4r = 42 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
3 + -4r + 7r = 42 + -7r + 7r

Combine like terms: -4r + 7r = 3r
3 + 3r = 42 + -7r + 7r

Combine like terms: -7r + 7r = 0
3 + 3r = 42 + 0
3 + 3r = 42

Add '-3' to each side of the equation.
3 + -3 + 3r = 42 + -3

Combine like terms: 3 + -3 = 0
0 + 3r = 42 + -3
3r = 42 + -3

Combine like terms: 42 + -3 = 39
3r = 39

Divide each side by '3'.
r = 13

Simplifying
r = 13