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

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


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

Reorder the terms:
4(-3 + 2p) + -3(p + 2) = p
(-3 * 4 + 2p * 4) + -3(p + 2) = p
(-12 + 8p) + -3(p + 2) = p

Reorder the terms:
-12 + 8p + -3(2 + p) = p
-12 + 8p + (2 * -3 + p * -3) = p
-12 + 8p + (-6 + -3p) = p

Reorder the terms:
-12 + -6 + 8p + -3p = p

Combine like terms: -12 + -6 = -18
-18 + 8p + -3p = p

Combine like terms: 8p + -3p = 5p
-18 + 5p = p

Solving
-18 + 5p = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-18 + 5p + -1p = p + -1p

Combine like terms: 5p + -1p = 4p
-18 + 4p = p + -1p

Combine like terms: p + -1p = 0
-18 + 4p = 0

Add '18' to each side of the equation.
-18 + 18 + 4p = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 4p = 0 + 18
4p = 0 + 18

Combine like terms: 0 + 18 = 18
4p = 18

Divide each side by '4'.
p = 4.5

Simplifying
p = 4.5

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