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Linear Equation in One Variable

Solve 10p -...

Question

Solve $10 p - (3 p - 4) = 4 (p + 1) + 9$

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Solution

Consider the given equation.
$10 p - (3 p - 4) = 4 (p + 1) + 9$
$\Rightarrow 10 p - 3 p + 4 = 4 p + 4 + 9$
$\Rightarrow 10 p - 3 p - 4 p = 9$
$\Rightarrow (10 - 3 - 4) p = 9$
$\Rightarrow 3 p = 9$
$∴ p = \frac{9}{3}$

Hence, the value is $p = 3$ .

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