7(p+3)+9=5(p-2)+3p

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Solution for 7(p+3)+9=5(p-2)+3p equation: 


Simplifying
7(p + 3) + 9 = 5(p + -2) + 3p

Reorder the terms:
7(3 + p) + 9 = 5(p + -2) + 3p
(3 * 7 + p * 7) + 9 = 5(p + -2) + 3p
(21 + 7p) + 9 = 5(p + -2) + 3p

Reorder the terms:
21 + 9 + 7p = 5(p + -2) + 3p

Combine like terms: 21 + 9 = 30
30 + 7p = 5(p + -2) + 3p

Reorder the terms:
30 + 7p = 5(-2 + p) + 3p
30 + 7p = (-2 * 5 + p * 5) + 3p
30 + 7p = (-10 + 5p) + 3p

Combine like terms: 5p + 3p = 8p
30 + 7p = -10 + 8p

Solving
30 + 7p = -10 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
30 + 7p + -8p = -10 + 8p + -8p

Combine like terms: 7p + -8p = -1p
30 + -1p = -10 + 8p + -8p

Combine like terms: 8p + -8p = 0
30 + -1p = -10 + 0
30 + -1p = -10

Add '-30' to each side of the equation.
30 + -30 + -1p = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -1p = -10 + -30
-1p = -10 + -30

Combine like terms: -10 + -30 = -40
-1p = -40

Divide each side by '-1'.
p = 40

Simplifying
p = 40

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