(3p-3)-(2p-4)=6

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Solution for (3p-3)-(2p-4)=6 equation:


Simplifying
(3p + -3) + -1(2p + -4) = 6

Reorder the terms:
(-3 + 3p) + -1(2p + -4) = 6

Remove parenthesis around (-3 + 3p)
-3 + 3p + -1(2p + -4) = 6

Reorder the terms:
-3 + 3p + -1(-4 + 2p) = 6
-3 + 3p + (-4 * -1 + 2p * -1) = 6
-3 + 3p + (4 + -2p) = 6

Reorder the terms:
-3 + 4 + 3p + -2p = 6

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

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

Solving
1 + 1p = 6

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1 + 1p = 6 + -1

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

Combine like terms: 6 + -1 = 5
1p = 5

Divide each side by '1'.
p = 5

Simplifying
p = 5

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