4(r+9)=7(6+r)

Solution for 4(r+9)=7(6+r) equation:

Simplifying
4(r + 9) = 7(6 + r)

Reorder the terms:
4(9 + r) = 7(6 + r)
(9 * 4 + r * 4) = 7(6 + r)
(36 + 4r) = 7(6 + r)
36 + 4r = (6 * 7 + r * 7)
36 + 4r = (42 + 7r)

Solving
36 + 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.
36 + 4r + -7r = 42 + 7r + -7r

Combine like terms: 4r + -7r = -3r
36 + -3r = 42 + 7r + -7r

Combine like terms: 7r + -7r = 0
36 + -3r = 42 + 0
36 + -3r = 42

Add '-36' to each side of the equation.
36 + -36 + -3r = 42 + -36

Combine like terms: 36 + -36 = 0
0 + -3r = 42 + -36
-3r = 42 + -36

Combine like terms: 42 + -36 = 6
-3r = 6

Divide each side by '-3'.
r = -2

Simplifying
r = -2