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

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


Simplifying
9p + -3(6 + -5p) = -2(3p + 9)
9p + (6 * -3 + -5p * -3) = -2(3p + 9)
9p + (-18 + 15p) = -2(3p + 9)

Reorder the terms:
-18 + 9p + 15p = -2(3p + 9)

Combine like terms: 9p + 15p = 24p
-18 + 24p = -2(3p + 9)

Reorder the terms:
-18 + 24p = -2(9 + 3p)
-18 + 24p = (9 * -2 + 3p * -2)
-18 + 24p = (-18 + -6p)

Add '18' to each side of the equation.
-18 + 18 + 24p = -18 + 18 + -6p

Combine like terms: -18 + 18 = 0
0 + 24p = -18 + 18 + -6p
24p = -18 + 18 + -6p

Combine like terms: -18 + 18 = 0
24p = 0 + -6p
24p = -6p

Solving
24p = -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
24p + 6p = -6p + 6p

Combine like terms: 24p + 6p = 30p
30p = -6p + 6p

Combine like terms: -6p + 6p = 0
30p = 0

Divide each side by '30'.
p = 0.0

Simplifying
p = 0.0

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