6(p+4)=-3(1-3p)

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Solution for 6(p+4)=-3(1-3p) equation:


Simplifying
6(p + 4) = -3(1 + -3p)

Reorder the terms:
6(4 + p) = -3(1 + -3p)
(4 * 6 + p * 6) = -3(1 + -3p)
(24 + 6p) = -3(1 + -3p)
24 + 6p = (1 * -3 + -3p * -3)
24 + 6p = (-3 + 9p)

Solving
24 + 6p = -3 + 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.
24 + 6p + -9p = -3 + 9p + -9p

Combine like terms: 6p + -9p = -3p
24 + -3p = -3 + 9p + -9p

Combine like terms: 9p + -9p = 0
24 + -3p = -3 + 0
24 + -3p = -3

Add '-24' to each side of the equation.
24 + -24 + -3p = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -3p = -3 + -24
-3p = -3 + -24

Combine like terms: -3 + -24 = -27
-3p = -27

Divide each side by '-3'.
p = 9

Simplifying
p = 9

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