3(p+6)=9(2-5p)

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Solution for 3(p+6)=9(2-5p) equation:


Simplifying
3(p + 6) = 9(2 + -5p)

Reorder the terms:
3(6 + p) = 9(2 + -5p)
(6 * 3 + p * 3) = 9(2 + -5p)
(18 + 3p) = 9(2 + -5p)
18 + 3p = (2 * 9 + -5p * 9)
18 + 3p = (18 + -45p)

Add '-18' to each side of the equation.
18 + -18 + 3p = 18 + -18 + -45p

Combine like terms: 18 + -18 = 0
0 + 3p = 18 + -18 + -45p
3p = 18 + -18 + -45p

Combine like terms: 18 + -18 = 0
3p = 0 + -45p
3p = -45p

Solving
3p = -45p

Solving for variable 'p'.

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

Add '45p' to each side of the equation.
3p + 45p = -45p + 45p

Combine like terms: 3p + 45p = 48p
48p = -45p + 45p

Combine like terms: -45p + 45p = 0
48p = 0

Divide each side by '48'.
p = 0

Simplifying
p = 0

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