7(7p+2)=3(20p-20)-14

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Solution for 7(7p+2)=3(20p-20)-14 equation: 


Simplifying
7(7p + 2) = 3(20p + -20) + -14

Reorder the terms:
7(2 + 7p) = 3(20p + -20) + -14
(2 * 7 + 7p * 7) = 3(20p + -20) + -14
(14 + 49p) = 3(20p + -20) + -14

Reorder the terms:
14 + 49p = 3(-20 + 20p) + -14
14 + 49p = (-20 * 3 + 20p * 3) + -14
14 + 49p = (-60 + 60p) + -14

Reorder the terms:
14 + 49p = -60 + -14 + 60p

Combine like terms: -60 + -14 = -74
14 + 49p = -74 + 60p

Solving
14 + 49p = -74 + 60p

Solving for variable 'p'.

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

Add '-60p' to each side of the equation.
14 + 49p + -60p = -74 + 60p + -60p

Combine like terms: 49p + -60p = -11p
14 + -11p = -74 + 60p + -60p

Combine like terms: 60p + -60p = 0
14 + -11p = -74 + 0
14 + -11p = -74

Add '-14' to each side of the equation.
14 + -14 + -11p = -74 + -14

Combine like terms: 14 + -14 = 0
0 + -11p = -74 + -14
-11p = -74 + -14

Combine like terms: -74 + -14 = -88
-11p = -88

Divide each side by '-11'.
p = 8

Simplifying
p = 8

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