To solve the equation, we need to isolate the variable p.
First, let's subtract -10 from both sides of the equation to remove the constant term on the left side:
-10 + 7/4p - (-10) = -38 - (-10)
7/4p = -28
Next, let's multiply both sides of the equation by the reciprocal of 7/4, which is 4/7, to get rid of the fraction:
(7/4p) * (4/7) = -28 * (4/7)
(7/4) * (4/7) * p = -28 * (4/7)
p = -112/7
p = -16
Therefore, the value of p that satisfies the equation -10 + 7/4p = -38 is p = -16.
-10 + 7/4p = -38
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