5(4+p)=3(3p-1)-9

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


Simplifying
5(4 + p) = 3(3p + -1) + -9
(4 * 5 + p * 5) = 3(3p + -1) + -9
(20 + 5p) = 3(3p + -1) + -9

Reorder the terms:
20 + 5p = 3(-1 + 3p) + -9
20 + 5p = (-1 * 3 + 3p * 3) + -9
20 + 5p = (-3 + 9p) + -9

Reorder the terms:
20 + 5p = -3 + -9 + 9p

Combine like terms: -3 + -9 = -12
20 + 5p = -12 + 9p

Solving
20 + 5p = -12 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
20 + 5p + -9p = -12 + 9p + -9p

Combine like terms: 5p + -9p = -4p
20 + -4p = -12 + 9p + -9p

Combine like terms: 9p + -9p = 0
20 + -4p = -12 + 0
20 + -4p = -12

Add '-20' to each side of the equation.
20 + -20 + -4p = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -4p = -12 + -20
-4p = -12 + -20

Combine like terms: -12 + -20 = -32
-4p = -32

Divide each side by '-4'.
p = 8

Simplifying
p = 8

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