2(p+7)-33=4p-11p+4(p-1)

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Solution for 2(p+7)-33=4p-11p+4(p-1) equation:


Simplifying
2(p + 7) + -33 = 4p + -11p + 4(p + -1)

Reorder the terms:
2(7 + p) + -33 = 4p + -11p + 4(p + -1)
(7 * 2 + p * 2) + -33 = 4p + -11p + 4(p + -1)
(14 + 2p) + -33 = 4p + -11p + 4(p + -1)

Reorder the terms:
14 + -33 + 2p = 4p + -11p + 4(p + -1)

Combine like terms: 14 + -33 = -19
-19 + 2p = 4p + -11p + 4(p + -1)

Reorder the terms:
-19 + 2p = 4p + -11p + 4(-1 + p)
-19 + 2p = 4p + -11p + (-1 * 4 + p * 4)
-19 + 2p = 4p + -11p + (-4 + 4p)

Reorder the terms:
-19 + 2p = -4 + 4p + -11p + 4p

Combine like terms: 4p + -11p = -7p
-19 + 2p = -4 + -7p + 4p

Combine like terms: -7p + 4p = -3p
-19 + 2p = -4 + -3p

Solving
-19 + 2p = -4 + -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.
-19 + 2p + 3p = -4 + -3p + 3p

Combine like terms: 2p + 3p = 5p
-19 + 5p = -4 + -3p + 3p

Combine like terms: -3p + 3p = 0
-19 + 5p = -4 + 0
-19 + 5p = -4

Add '19' to each side of the equation.
-19 + 19 + 5p = -4 + 19

Combine like terms: -19 + 19 = 0
0 + 5p = -4 + 19
5p = -4 + 19

Combine like terms: -4 + 19 = 15
5p = 15

Divide each side by '5'.
p = 3

Simplifying
p = 3

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