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Solving Equations with Variables on Both Sides

Solve: 10p ...

Question

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

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Solution

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

$⟹$ $10 p - 3 p + 4 = 4 p + 4 + 9$ ...[By Distribution Law]

$⟹$ $7 p + 4 = 4 p + 13$ ...[On simplifying]

$⟹$ $7 p - 4 p = 13 - 4$ ...[Transposing $p$ terms to one side]

$⟹$ $3 p = 9$ ...[On simplifying]

$⟹$ $p = 3$ .

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