7(7p+1)-4p=13(3p-2)

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Solution for 7(7p+1)-4p=13(3p-2) equation:


Simplifying
7(7p + 1) + -4p = 13(3p + -2)

Reorder the terms:
7(1 + 7p) + -4p = 13(3p + -2)
(1 * 7 + 7p * 7) + -4p = 13(3p + -2)
(7 + 49p) + -4p = 13(3p + -2)

Combine like terms: 49p + -4p = 45p
7 + 45p = 13(3p + -2)

Reorder the terms:
7 + 45p = 13(-2 + 3p)
7 + 45p = (-2 * 13 + 3p * 13)
7 + 45p = (-26 + 39p)

Solving
7 + 45p = -26 + 39p

Solving for variable 'p'.

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

Add '-39p' to each side of the equation.
7 + 45p + -39p = -26 + 39p + -39p

Combine like terms: 45p + -39p = 6p
7 + 6p = -26 + 39p + -39p

Combine like terms: 39p + -39p = 0
7 + 6p = -26 + 0
7 + 6p = -26

Add '-7' to each side of the equation.
7 + -7 + 6p = -26 + -7

Combine like terms: 7 + -7 = 0
0 + 6p = -26 + -7
6p = -26 + -7

Combine like terms: -26 + -7 = -33
6p = -33

Divide each side by '6'.
p = -5.5

Simplifying
p = -5.5

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