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4a^{2}+3b+\frac{3}{4}a-3b+2-\left(\frac{5}{3}a-2\right)
Combine \frac{3}{2}a^{2} and \frac{5}{2}a^{2} to get 4a^{2}.
4a^{2}+\frac{3}{4}a+2-\left(\frac{5}{3}a-2\right)
Combine 3b and -3b to get 0.
4a^{2}+\frac{3}{4}a+2-\frac{5}{3}a+2
To find the opposite of \frac{5}{3}a-2, find the opposite of each term.
4a^{2}-\frac{11}{12}a+2+2
Combine \frac{3}{4}a and -\frac{5}{3}a to get -\frac{11}{12}a.
4a^{2}-\frac{11}{12}a+4
Add 2 and 2 to get 4.
4a^{2}+3b+\frac{3}{4}a-3b+2-\left(\frac{5}{3}a-2\right)
Combine \frac{3}{2}a^{2} and \frac{5}{2}a^{2} to get 4a^{2}.
4a^{2}+\frac{3}{4}a+2-\left(\frac{5}{3}a-2\right)
Combine 3b and -3b to get 0.
4a^{2}+\frac{3}{4}a+2-\frac{5}{3}a+2
To find the opposite of \frac{5}{3}a-2, find the opposite of each term.
4a^{2}-\frac{11}{12}a+2+2
Combine \frac{3}{4}a and -\frac{5}{3}a to get -\frac{11}{12}a.
4a^{2}-\frac{11}{12}a+4
Add 2 and 2 to get 4.