Question & Answer

Solve for p. -3/8p + 1/2 + 5/4p = -1/2p – 2 + 7/8p p = ___.

Solve for p.

-3/8p + 1/2 + 5/4p = -1/2p – 2 + 7/8p

p = ___

1 Answer

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Quizzma TeamApril 20, 2025

To solve the equation (-frac{3}{8}p + frac{1}{2} + frac{5}{4}p = -frac{1}{2}p – 2 + frac{7}{8}p), follow these steps:

1. Combine like terms: On both sides, combine all the terms involving (p) and the constant terms separately.

On the left side:

– Convert (frac{5}{4}p) to eighths: (frac{5}{4}p = frac{10}{8}p)

– So, (-frac{3}{8}p + frac{10}{8}p = frac{7}{8}p)

The left side becomes:

[

frac{7}{8}p + frac{1}{2}

]

On the right side:

– Convert (-frac{1}{2}p) to eighths: (-frac{1}{2}p = -frac{4}{8}p)

– Combine the (p) terms: (-frac{4}{8}p + frac{7}{8}p = frac{3}{8}p)

The right side becomes:

[

frac{3}{8}p –