r=9(b+3)forb

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Solution for r=9(b+3)forb equation: 


Simplifying
r = 9(b + 3) * forb

Reorder the terms:
r = 9(3 + b) * forb

Reorder the terms for easier multiplication:
r = 9bfor(3 + b)
r = (3 * 9bfor + b * 9bfor)
r = (27bfor + 9b2for)

Solving
r = 27bfor + 9b2for

Solving for variable 'r'.

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

Add '-27bfor' to each side of the equation.
-27bfor + r = 27bfor + -27bfor + 9b2for

Combine like terms: 27bfor + -27bfor = 0
-27bfor + r = 0 + 9b2for
-27bfor + r = 9b2for

Add '-9b2for' to each side of the equation.
-27bfor + -9b2for + r = 9b2for + -9b2for

Combine like terms: 9b2for + -9b2for = 0
-27bfor + -9b2for + r = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(-27bfo + -9b2fo + 1) = 0


Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(-27bfo + -9b2fo + 1)' equal to zero and attempt to solve:

Simplifying
-27bfo + -9b2fo + 1 = 0

Reorder the terms:
1 + -27bfo + -9b2fo = 0

Solving
1 + -27bfo + -9b2fo = 0

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

Add '-1' to each side of the equation.
1 + -27bfo + -1 + -9b2fo = 0 + -1

Reorder the terms:
1 + -1 + -27bfo + -9b2fo = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -27bfo + -9b2fo = 0 + -1
-27bfo + -9b2fo = 0 + -1

Combine like terms: 0 + -1 = -1
-27bfo + -9b2fo = -1

Add '27bfo' to each side of the equation.
-27bfo + 27bfo + -9b2fo = -1 + 27bfo

Combine like terms: -27bfo + 27bfo = 0
0 + -9b2fo = -1 + 27bfo
-9b2fo = -1 + 27bfo

Add '9b2fo' to each side of the equation.
-9b2fo + 9b2fo = -1 + 27bfo + 9b2fo

Combine like terms: -9b2fo + 9b2fo = 0
0 = -1 + 27bfo + 9b2fo

Simplifying
0 = -1 + 27bfo + 9b2fo

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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