9p+3=4(p-8)

First do the arithmetic for the part in parentheses.

4(p-8) = 4p - 32
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Your problem is now:
9p + 3 = 4p - 32
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Subtract 4p from each side of the equation.
5p + 3 = -32
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Subtract 3 from both sides.
5p = -29
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Divide both sides of the equation by 5. What answer do you get?