3p+4=4(3p-2)-2(5-p)

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Solution for 3p+4=4(3p-2)-2(5-p) equation:


Simplifying
3p + 4 = 4(3p + -2) + -2(5 + -1p)

Reorder the terms:
4 + 3p = 4(3p + -2) + -2(5 + -1p)

Reorder the terms:
4 + 3p = 4(-2 + 3p) + -2(5 + -1p)
4 + 3p = (-2 * 4 + 3p * 4) + -2(5 + -1p)
4 + 3p = (-8 + 12p) + -2(5 + -1p)
4 + 3p = -8 + 12p + (5 * -2 + -1p * -2)
4 + 3p = -8 + 12p + (-10 + 2p)

Reorder the terms:
4 + 3p = -8 + -10 + 12p + 2p

Combine like terms: -8 + -10 = -18
4 + 3p = -18 + 12p + 2p

Combine like terms: 12p + 2p = 14p
4 + 3p = -18 + 14p

Solving
4 + 3p = -18 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
4 + 3p + -14p = -18 + 14p + -14p

Combine like terms: 3p + -14p = -11p
4 + -11p = -18 + 14p + -14p

Combine like terms: 14p + -14p = 0
4 + -11p = -18 + 0
4 + -11p = -18

Add '-4' to each side of the equation.
4 + -4 + -11p = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -11p = -18 + -4
-11p = -18 + -4

Combine like terms: -18 + -4 = -22
-11p = -22

Divide each side by '-11'.
p = 2

Simplifying
p = 2

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