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# 11.Solve the equation 17 + 6p = 9.

Here,we have, 17 + 6p = 9

$$\Rightarrow$$ 17 – 17 + 6p = 9 – 17 (subtracting 17 from the both sides)

$$\Rightarrow$$ 6p = -8

$$\Rightarrow$$ 6p ÷ 6 = -8 ÷ 6 (dividing both the sides by 6)

$$\Rightarrow$$ p = $$\frac { -8 }{ 6 }$$

$$\Rightarrow$$ p = $$\frac { -4 }{ 3 }$$

Thus, p = $$\frac { -4 }{ 3 }$$ is the required solution.

Check:

Keep p = $$\frac { -4 }{ 3 }$$ in the given solution

L.H.S=$$17+6p=17+6×\frac{-4}{3}=17-8=9$$=L.H.S

Hencep = $$\frac { -4 }{ 3 }$$ is the required solution.