5p-9=3(p-7)

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Solution for 5p-9=3(p-7) equation:


Simplifying
5p + -9 = 3(p + -7)

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

Reorder the terms:
-9 + 5p = 3(-7 + p)
-9 + 5p = (-7 * 3 + p * 3)
-9 + 5p = (-21 + 3p)

Solving
-9 + 5p = -21 + 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.
-9 + 5p + -3p = -21 + 3p + -3p

Combine like terms: 5p + -3p = 2p
-9 + 2p = -21 + 3p + -3p

Combine like terms: 3p + -3p = 0
-9 + 2p = -21 + 0
-9 + 2p = -21

Add '9' to each side of the equation.
-9 + 9 + 2p = -21 + 9

Combine like terms: -9 + 9 = 0
0 + 2p = -21 + 9
2p = -21 + 9

Combine like terms: -21 + 9 = -12
2p = -12

Divide each side by '2'.
p = -6

Simplifying
p = -6

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