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

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


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

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

Reorder the terms:
-6 + 3p = -2(-4 + p)
-6 + 3p = (-4 * -2 + p * -2)
-6 + 3p = (8 + -2p)

Solving
-6 + 3p = 8 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-6 + 3p + 2p = 8 + -2p + 2p

Combine like terms: 3p + 2p = 5p
-6 + 5p = 8 + -2p + 2p

Combine like terms: -2p + 2p = 0
-6 + 5p = 8 + 0
-6 + 5p = 8

Add '6' to each side of the equation.
-6 + 6 + 5p = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = 8 + 6
5p = 8 + 6

Combine like terms: 8 + 6 = 14
5p = 14

Divide each side by '5'.
p = 2.8

Simplifying
p = 2.8

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