3p=5(p-1)-(7-2p)

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Solution for 3p=5(p-1)-(7-2p) equation:


Simplifying
3p = 5(p + -1) + -1(7 + -2p)

Reorder the terms:
3p = 5(-1 + p) + -1(7 + -2p)
3p = (-1 * 5 + p * 5) + -1(7 + -2p)
3p = (-5 + 5p) + -1(7 + -2p)
3p = -5 + 5p + (7 * -1 + -2p * -1)
3p = -5 + 5p + (-7 + 2p)

Reorder the terms:
3p = -5 + -7 + 5p + 2p

Combine like terms: -5 + -7 = -12
3p = -12 + 5p + 2p

Combine like terms: 5p + 2p = 7p
3p = -12 + 7p

Solving
3p = -12 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
3p + -7p = -12 + 7p + -7p

Combine like terms: 3p + -7p = -4p
-4p = -12 + 7p + -7p

Combine like terms: 7p + -7p = 0
-4p = -12 + 0
-4p = -12

Divide each side by '-4'.
p = 3

Simplifying
p = 3

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