48=4(3p-2)-4(-2-3p)

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Solution for 48=4(3p-2)-4(-2-3p) equation:


Simplifying
48 = 4(3p + -2) + -4(-2 + -3p)

Reorder the terms:
48 = 4(-2 + 3p) + -4(-2 + -3p)
48 = (-2 * 4 + 3p * 4) + -4(-2 + -3p)
48 = (-8 + 12p) + -4(-2 + -3p)
48 = -8 + 12p + (-2 * -4 + -3p * -4)
48 = -8 + 12p + (8 + 12p)

Reorder the terms:
48 = -8 + 8 + 12p + 12p

Combine like terms: -8 + 8 = 0
48 = 0 + 12p + 12p
48 = 12p + 12p

Combine like terms: 12p + 12p = 24p
48 = 24p

Solving
48 = 24p

Solving for variable 'p'.

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

Add '-24p' to each side of the equation.
48 + -24p = 24p + -24p

Combine like terms: 24p + -24p = 0
48 + -24p = 0

Add '-48' to each side of the equation.
48 + -48 + -24p = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -24p = 0 + -48
-24p = 0 + -48

Combine like terms: 0 + -48 = -48
-24p = -48

Divide each side by '-24'.
p = 2

Simplifying
p = 2

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