4(r+8)+1=16

Solution for 4(r+8)+1=16 equation:

Simplifying
4(r + 8) + 1 = 16

Reorder the terms:
4(8 + r) + 1 = 16
(8 * 4 + r * 4) + 1 = 16
(32 + 4r) + 1 = 16

Reorder the terms:
32 + 1 + 4r = 16

Combine like terms: 32 + 1 = 33
33 + 4r = 16

Solving
33 + 4r = 16

Solving for variable 'r'.

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

Add '-33' to each side of the equation.
33 + -33 + 4r = 16 + -33

Combine like terms: 33 + -33 = 0
0 + 4r = 16 + -33
4r = 16 + -33

Combine like terms: 16 + -33 = -17
4r = -17

Divide each side by '4'.
r = -4.25

Simplifying
r = -4.25