r+33=-8+2(1+7r)

Solution for r+33=-8+2(1+7r) equation:

Simplifying
r + 33 = -8 + 2(1 + 7r)

Reorder the terms:
33 + r = -8 + 2(1 + 7r)
33 + r = -8 + (1 * 2 + 7r * 2)
33 + r = -8 + (2 + 14r)

Combine like terms: -8 + 2 = -6
33 + r = -6 + 14r

Solving
33 + r = -6 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
33 + r + -14r = -6 + 14r + -14r

Combine like terms: r + -14r = -13r
33 + -13r = -6 + 14r + -14r

Combine like terms: 14r + -14r = 0
33 + -13r = -6 + 0
33 + -13r = -6

Add '-33' to each side of the equation.
33 + -33 + -13r = -6 + -33

Combine like terms: 33 + -33 = 0
0 + -13r = -6 + -33
-13r = -6 + -33

Combine like terms: -6 + -33 = -39
-13r = -39

Divide each side by '-13'.
r = 3

Simplifying
r = 3