-2[(4p+1)-(3p-1)]=5(3-p)-9

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Solution for -2[(4p+1)-(3p-1)]=5(3-p)-9 equation:


Simplifying
-2[(4p + 1) + -1(3p + -1)] = 5(3 + -1p) + -9

Reorder the terms:
-2[(1 + 4p) + -1(3p + -1)] = 5(3 + -1p) + -9

Remove parenthesis around (1 + 4p)
-2[1 + 4p + -1(3p + -1)] = 5(3 + -1p) + -9

Reorder the terms:
-2[1 + 4p + -1(-1 + 3p)] = 5(3 + -1p) + -9
-2[1 + 4p + (-1 * -1 + 3p * -1)] = 5(3 + -1p) + -9
-2[1 + 4p + (1 + -3p)] = 5(3 + -1p) + -9

Reorder the terms:
-2[1 + 1 + 4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 1 + 1 = 2
-2[2 + 4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 4p + -3p = 1p
-2[2 + 1p] = 5(3 + -1p) + -9
[2 * -2 + 1p * -2] = 5(3 + -1p) + -9
[-4 + -2p] = 5(3 + -1p) + -9
-4 + -2p = (3 * 5 + -1p * 5) + -9
-4 + -2p = (15 + -5p) + -9

Reorder the terms:
-4 + -2p = 15 + -9 + -5p

Combine like terms: 15 + -9 = 6
-4 + -2p = 6 + -5p

Solving
-4 + -2p = 6 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
-4 + -2p + 5p = 6 + -5p + 5p

Combine like terms: -2p + 5p = 3p
-4 + 3p = 6 + -5p + 5p

Combine like terms: -5p + 5p = 0
-4 + 3p = 6 + 0
-4 + 3p = 6

Add '4' to each side of the equation.
-4 + 4 + 3p = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 3p = 6 + 4
3p = 6 + 4

Combine like terms: 6 + 4 = 10
3p = 10

Divide each side by '3'.
p = 3.333333333

Simplifying
p = 3.333333333

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