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Final Answer: [tex]b = -18[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]-21 = -9 + \frac{2}{3}b[/tex].
Step 1: Simplify [tex]\frac{2}{3}b[/tex] to [tex]\frac{2b}{3}[/tex].
[tex]-21 = -9 + \frac{2b}{3}[/tex]
Step 2: Regroup terms.
[tex]-21 = \frac{2b}{3} - 9[/tex]
Step 3: Add [tex]9[/tex] to both sides.
[tex]-21 + 9 = \frac{2b}{3}[/tex]
Step 4: Simplify [tex]-21 + 9[/tex] to [tex]-12[/tex].
[tex]-12 = \frac{2b}{3}[/tex]
Step 5: Multiply both sides by [tex]3[/tex].
[tex]-12[/tex] × [tex]3 = 2b[/tex]
Step 6: Simplify [tex]-12[/tex] × [tex]3[/tex] to [tex]-36[/tex].
[tex]-36 = 2b[/tex]
Step 7: Divide both sides by [tex]2[/tex].
[tex]-\frac{36}{2} = b[/tex]
Step 8: Simplify [tex]-\frac{36}{2}[/tex] to [tex]-18[/tex].
[tex]-18 = b[/tex]
Step 9: Switch sides.
[tex]b = -18[/tex]
~I hope I helped you :)~