15+p=3(p+6)+5

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Solution for 15+p=3(p+6)+5 equation: 


Simplifying
15 + p = 3(p + 6) + 5

Reorder the terms:
15 + p = 3(6 + p) + 5
15 + p = (6 * 3 + p * 3) + 5
15 + p = (18 + 3p) + 5

Reorder the terms:
15 + p = 18 + 5 + 3p

Combine like terms: 18 + 5 = 23
15 + p = 23 + 3p

Solving
15 + p = 23 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
15 + p + -3p = 23 + 3p + -3p

Combine like terms: p + -3p = -2p
15 + -2p = 23 + 3p + -3p

Combine like terms: 3p + -3p = 0
15 + -2p = 23 + 0
15 + -2p = 23

Add '-15' to each side of the equation.
15 + -15 + -2p = 23 + -15

Combine like terms: 15 + -15 = 0
0 + -2p = 23 + -15
-2p = 23 + -15

Combine like terms: 23 + -15 = 8
-2p = 8

Divide each side by '-2'.
p = -4

Simplifying
p = -4

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