7p-4=3(3p-5)

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Solution for 7p-4=3(3p-5) equation:


Simplifying
7p + -4 = 3(3p + -5)

Reorder the terms:
-4 + 7p = 3(3p + -5)

Reorder the terms:
-4 + 7p = 3(-5 + 3p)
-4 + 7p = (-5 * 3 + 3p * 3)
-4 + 7p = (-15 + 9p)

Solving
-4 + 7p = -15 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-4 + 7p + -9p = -15 + 9p + -9p

Combine like terms: 7p + -9p = -2p
-4 + -2p = -15 + 9p + -9p

Combine like terms: 9p + -9p = 0
-4 + -2p = -15 + 0
-4 + -2p = -15

Add '4' to each side of the equation.
-4 + 4 + -2p = -15 + 4

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

Combine like terms: -15 + 4 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5

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