In order to solve for p, you need to get it alone on one side of the equation
4p + 7 = 9
4p = 2 subtract 7 from both sides
p = 2/4 divide by 4 on each side
p= 1/2 simplify
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4p + 9 - 7p + 2 4p - 7p + 9 + 2 p(4 - 7) + 9 + 2 -3p + 11
4p+9-7p+2 -3p+11 p = 11/3
4p + 9 + (-7p) + 2 = 4p - 7p + 9 + 2 = -3p + 11
Collect like terms together: 4p + 9 + 7p + 2 = (4p + 7p) + (9 + 2) = (4 + 7)p + 11 = 11p + 11 = 11(p + 1)
9/4