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14+4\sqrt{3}-4\sqrt{3}-\left(3\sqrt{5}-1\right)
Add 7 and 7 to get 14.
14-\left(3\sqrt{5}-1\right)
Combine 4\sqrt{3} and -4\sqrt{3} to get 0.
14-3\sqrt{5}-\left(-1\right)
To find the opposite of 3\sqrt{5}-1, find the opposite of each term.
14-3\sqrt{5}+1
The opposite of -1 is 1.
15-3\sqrt{5}
Add 14 and 1 to get 15.