3(3+p)-1=7(p*-4)

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


Simplifying
3(3 + p) + -1 = 7(p * -4)
(3 * 3 + p * 3) + -1 = 7(p * -4)
(9 + 3p) + -1 = 7(p * -4)

Reorder the terms:
9 + -1 + 3p = 7(p * -4)

Combine like terms: 9 + -1 = 8
8 + 3p = 7(p * -4)

Reorder the terms for easier multiplication:
8 + 3p = 7(-4p)

Remove parenthesis around (-4p)
8 + 3p = 7 * -4p

Multiply 7 * -4
8 + 3p = -28p

Solving
8 + 3p = -28p

Solving for variable 'p'.

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

Add '28p' to each side of the equation.
8 + 3p + 28p = -28p + 28p

Combine like terms: 3p + 28p = 31p
8 + 31p = -28p + 28p

Combine like terms: -28p + 28p = 0
8 + 31p = 0

Add '-8' to each side of the equation.
8 + -8 + 31p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 31p = 0 + -8
31p = 0 + -8

Combine like terms: 0 + -8 = -8
31p = -8

Divide each side by '31'.
p = -0.2580645161

Simplifying
p = -0.2580645161

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