3P+2[1-3(p+2)]=2p

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Solution for 3P+2[1-3(p+2)]=2p equation:


Simplifying
3P + 2[1 + -3(p + 2)] = 2p

Reorder the terms:
3P + 2[1 + -3(2 + p)] = 2p
3P + 2[1 + (2 * -3 + p * -3)] = 2p
3P + 2[1 + (-6 + -3p)] = 2p

Combine like terms: 1 + -6 = -5
3P + 2[-5 + -3p] = 2p
3P + [-5 * 2 + -3p * 2] = 2p
3P + [-10 + -6p] = 2p

Reorder the terms:
-10 + 3P + -6p = 2p

Solving
-10 + 3P + -6p = 2p

Solving for variable 'P'.

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

Add '10' to each side of the equation.
-10 + 3P + 10 + -6p = 10 + 2p

Reorder the terms:
-10 + 10 + 3P + -6p = 10 + 2p

Combine like terms: -10 + 10 = 0
0 + 3P + -6p = 10 + 2p
3P + -6p = 10 + 2p

Add '6p' to each side of the equation.
3P + -6p + 6p = 10 + 2p + 6p

Combine like terms: -6p + 6p = 0
3P + 0 = 10 + 2p + 6p
3P = 10 + 2p + 6p

Combine like terms: 2p + 6p = 8p
3P = 10 + 8p

Divide each side by '3'.
P = 3.333333333 + 2.666666667p

Simplifying
P = 3.333333333 + 2.666666667p

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