69=8(r-8)-3(1-3r)

Solution for 69=8(r-8)-3(1-3r) equation:

Simplifying
69 = 8(r + -8) + -3(1 + -3r)

Reorder the terms:
69 = 8(-8 + r) + -3(1 + -3r)
69 = (-8 * 8 + r * 8) + -3(1 + -3r)
69 = (-64 + 8r) + -3(1 + -3r)
69 = -64 + 8r + (1 * -3 + -3r * -3)
69 = -64 + 8r + (-3 + 9r)

Reorder the terms:
69 = -64 + -3 + 8r + 9r

Combine like terms: -64 + -3 = -67
69 = -67 + 8r + 9r

Combine like terms: 8r + 9r = 17r
69 = -67 + 17r

Solving
69 = -67 + 17r

Solving for variable 'r'.

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

Add '-17r' to each side of the equation.
69 + -17r = -67 + 17r + -17r

Combine like terms: 17r + -17r = 0
69 + -17r = -67 + 0
69 + -17r = -67

Add '-69' to each side of the equation.
69 + -69 + -17r = -67 + -69

Combine like terms: 69 + -69 = 0
0 + -17r = -67 + -69
-17r = -67 + -69

Combine like terms: -67 + -69 = -136
-17r = -136

Divide each side by '-17'.
r = 8

Simplifying
r = 8