37+r=6(r+7)

Solution for 37+r=6(r+7) equation:

Simplifying
37 + r = 6(r + 7)

Reorder the terms:
37 + r = 6(7 + r)
37 + r = (7 * 6 + r * 6)
37 + r = (42 + 6r)

Solving
37 + r = 42 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
37 + r + -6r = 42 + 6r + -6r

Combine like terms: r + -6r = -5r
37 + -5r = 42 + 6r + -6r

Combine like terms: 6r + -6r = 0
37 + -5r = 42 + 0
37 + -5r = 42

Add '-37' to each side of the equation.
37 + -37 + -5r = 42 + -37

Combine like terms: 37 + -37 = 0
0 + -5r = 42 + -37
-5r = 42 + -37

Combine like terms: 42 + -37 = 5
-5r = 5

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

Simplifying
r = -1