3r+37=-4r+6(r+7)

Solution for 3r+37=-4r+6(r+7) equation:

Simplifying
3r + 37 = -4r + 6(r + 7)

Reorder the terms:
37 + 3r = -4r + 6(r + 7)

Reorder the terms:
37 + 3r = -4r + 6(7 + r)
37 + 3r = -4r + (7 * 6 + r * 6)
37 + 3r = -4r + (42 + 6r)

Reorder the terms:
37 + 3r = 42 + -4r + 6r

Combine like terms: -4r + 6r = 2r
37 + 3r = 42 + 2r

Solving
37 + 3r = 42 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
37 + 3r + -2r = 42 + 2r + -2r

Combine like terms: 3r + -2r = 1r
37 + 1r = 42 + 2r + -2r

Combine like terms: 2r + -2r = 0
37 + 1r = 42 + 0
37 + 1r = 42

Add '-37' to each side of the equation.
37 + -37 + 1r = 42 + -37

Combine like terms: 37 + -37 = 0
0 + 1r = 42 + -37
1r = 42 + -37

Combine like terms: 42 + -37 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5