Add or subtract. $$ 6 \sqrt{75}-4 \sqrt{50}+\sqrt{27} $$

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Calculate or simplify the expression $$ 6\sqrt{75}-4\sqrt{50}+\sqrt{27} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$6\sqrt{75}-4\sqrt{50}+\sqrt{27}$$
- step1: Simplify the root:
  $$6	imes 5\sqrt{3}-4\sqrt{50}+\sqrt{27}$$
- step2: Simplify the root:
  $$6	imes 5\sqrt{3}-4	imes 5\sqrt{2}+\sqrt{27}$$
- step3: Simplify the root:
  $$6	imes 5\sqrt{3}-4	imes 5\sqrt{2}+3\sqrt{3}$$
- step4: Multiply the terms:
  $$30\sqrt{3}-4	imes 5\sqrt{2}+3\sqrt{3}$$
- step5: Multiply the terms:
  $$30\sqrt{3}-20\sqrt{2}+3\sqrt{3}$$
- step6: Add the numbers:
  $$33\sqrt{3}-20\sqrt{2}$$
The result of adding or subtracting the given expression is $$33\sqrt{3}-20\sqrt{2}$$.
$$33\sqrt{3}-20\sqrt{2}$$

Add or subtract.

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