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