2(p+4)-1(p-9)=-3p+33

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Solution for 2(p+4)-1(p-9)=-3p+33 equation: 


Simplifying
2(p + 4) + -1(p + -9) = -3p + 33

Reorder the terms:
2(4 + p) + -1(p + -9) = -3p + 33
(4 * 2 + p * 2) + -1(p + -9) = -3p + 33
(8 + 2p) + -1(p + -9) = -3p + 33

Reorder the terms:
8 + 2p + -1(-9 + p) = -3p + 33
8 + 2p + (-9 * -1 + p * -1) = -3p + 33
8 + 2p + (9 + -1p) = -3p + 33

Reorder the terms:
8 + 9 + 2p + -1p = -3p + 33

Combine like terms: 8 + 9 = 17
17 + 2p + -1p = -3p + 33

Combine like terms: 2p + -1p = 1p
17 + 1p = -3p + 33

Reorder the terms:
17 + 1p = 33 + -3p

Solving
17 + 1p = 33 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
17 + 1p + 3p = 33 + -3p + 3p

Combine like terms: 1p + 3p = 4p
17 + 4p = 33 + -3p + 3p

Combine like terms: -3p + 3p = 0
17 + 4p = 33 + 0
17 + 4p = 33

Add '-17' to each side of the equation.
17 + -17 + 4p = 33 + -17

Combine like terms: 17 + -17 = 0
0 + 4p = 33 + -17
4p = 33 + -17

Combine like terms: 33 + -17 = 16
4p = 16

Divide each side by '4'.
p = 4

Simplifying
p = 4

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