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

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


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

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

Reorder the terms:
-1 + 3p = 2(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 2 + p * 2) + -2(7 + -2p)
-1 + 3p = (-2 + 2p) + -2(7 + -2p)
-1 + 3p = -2 + 2p + (7 * -2 + -2p * -2)
-1 + 3p = -2 + 2p + (-14 + 4p)

Reorder the terms:
-1 + 3p = -2 + -14 + 2p + 4p

Combine like terms: -2 + -14 = -16
-1 + 3p = -16 + 2p + 4p

Combine like terms: 2p + 4p = 6p
-1 + 3p = -16 + 6p

Solving
-1 + 3p = -16 + 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.
-1 + 3p + -6p = -16 + 6p + -6p

Combine like terms: 3p + -6p = -3p
-1 + -3p = -16 + 6p + -6p

Combine like terms: 6p + -6p = 0
-1 + -3p = -16 + 0
-1 + -3p = -16

Add '1' to each side of the equation.
-1 + 1 + -3p = -16 + 1

Combine like terms: -1 + 1 = 0
0 + -3p = -16 + 1
-3p = -16 + 1

Combine like terms: -16 + 1 = -15
-3p = -15

Divide each side by '-3'.
p = 5

Simplifying
p = 5

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