3 - \(\frac{3}{9} b\) = \(\frac{1}{3} b\) - 7
First, simplify \(\frac{2}{9} b\) to \(\frac{2b}{9}\) / Your problem should look like: 3 - \(\frac{2b}{9}\) = \(\frac{1}{3} b\) - 7
Second, simplify \(\frac{1}{3} b\) to \(\frac{b}{3}\) / Your problem should look like: 3 - \(\frac{2b}{9}\) = \(\frac{b}{3}\) - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like: \(\frac{90}{5}\) = b
Ninth, simplify \(\frac{90}{5}\) to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18
Answer: b = 18
