43=3(1+3p)+4

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Solution for 43=3(1+3p)+4 equation: 


Simplifying
43 = 3(1 + 3p) + 4
43 = (1 * 3 + 3p * 3) + 4
43 = (3 + 9p) + 4

Reorder the terms:
43 = 3 + 4 + 9p

Combine like terms: 3 + 4 = 7
43 = 7 + 9p

Solving
43 = 7 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.
43 + -9p = 7 + 9p + -9p

Combine like terms: 9p + -9p = 0
43 + -9p = 7 + 0
43 + -9p = 7

Add '-43' to each side of the equation.
43 + -43 + -9p = 7 + -43

Combine like terms: 43 + -43 = 0
0 + -9p = 7 + -43
-9p = 7 + -43

Combine like terms: 7 + -43 = -36
-9p = -36

Divide each side by '-9'.
p = 4

Simplifying
p = 4

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