2*3(p-120)=-(2p-1)+7

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Solution for 2*3(p-120)=-(2p-1)+7 equation:


Simplifying
2 * 3(p + -120) = -1(2p + -1) + 7

Reorder the terms:
2 * 3(-120 + p) = -1(2p + -1) + 7

Multiply 2 * 3
6(-120 + p) = -1(2p + -1) + 7
(-120 * 6 + p * 6) = -1(2p + -1) + 7
(-720 + 6p) = -1(2p + -1) + 7

Reorder the terms:
-720 + 6p = -1(-1 + 2p) + 7
-720 + 6p = (-1 * -1 + 2p * -1) + 7
-720 + 6p = (1 + -2p) + 7

Reorder the terms:
-720 + 6p = 1 + 7 + -2p

Combine like terms: 1 + 7 = 8
-720 + 6p = 8 + -2p

Solving
-720 + 6p = 8 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-720 + 6p + 2p = 8 + -2p + 2p

Combine like terms: 6p + 2p = 8p
-720 + 8p = 8 + -2p + 2p

Combine like terms: -2p + 2p = 0
-720 + 8p = 8 + 0
-720 + 8p = 8

Add '720' to each side of the equation.
-720 + 720 + 8p = 8 + 720

Combine like terms: -720 + 720 = 0
0 + 8p = 8 + 720
8p = 8 + 720

Combine like terms: 8 + 720 = 728
8p = 728

Divide each side by '8'.
p = 91

Simplifying
p = 91

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