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

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


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

Reorder the terms:
3(5 + 2p) = 2(p + -9)
(5 * 3 + 2p * 3) = 2(p + -9)
(15 + 6p) = 2(p + -9)

Reorder the terms:
15 + 6p = 2(-9 + p)
15 + 6p = (-9 * 2 + p * 2)
15 + 6p = (-18 + 2p)

Solving
15 + 6p = -18 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
15 + 6p + -2p = -18 + 2p + -2p

Combine like terms: 6p + -2p = 4p
15 + 4p = -18 + 2p + -2p

Combine like terms: 2p + -2p = 0
15 + 4p = -18 + 0
15 + 4p = -18

Add '-15' to each side of the equation.
15 + -15 + 4p = -18 + -15

Combine like terms: 15 + -15 = 0
0 + 4p = -18 + -15
4p = -18 + -15

Combine like terms: -18 + -15 = -33
4p = -33

Divide each side by '4'.
p = -8.25

Simplifying
p = -8.25

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