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

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


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

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

Reorder the terms:
9 + 2 + 3p = 5p + 9

Combine like terms: 9 + 2 = 11
11 + 3p = 5p + 9

Reorder the terms:
11 + 3p = 9 + 5p

Solving
11 + 3p = 9 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
11 + 3p + -5p = 9 + 5p + -5p

Combine like terms: 3p + -5p = -2p
11 + -2p = 9 + 5p + -5p

Combine like terms: 5p + -5p = 0
11 + -2p = 9 + 0
11 + -2p = 9

Add '-11' to each side of the equation.
11 + -11 + -2p = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -2p = 9 + -11
-2p = 9 + -11

Combine like terms: 9 + -11 = -2
-2p = -2

Divide each side by '-2'.
p = 1

Simplifying
p = 1

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