-6(3p+4)-24=2(4p+2)

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Solution for -6(3p+4)-24=2(4p+2) equation:


Simplifying
-6(3p + 4) + -24 = 2(4p + 2)

Reorder the terms:
-6(4 + 3p) + -24 = 2(4p + 2)
(4 * -6 + 3p * -6) + -24 = 2(4p + 2)
(-24 + -18p) + -24 = 2(4p + 2)

Reorder the terms:
-24 + -24 + -18p = 2(4p + 2)

Combine like terms: -24 + -24 = -48
-48 + -18p = 2(4p + 2)

Reorder the terms:
-48 + -18p = 2(2 + 4p)
-48 + -18p = (2 * 2 + 4p * 2)
-48 + -18p = (4 + 8p)

Solving
-48 + -18p = 4 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-48 + -18p + -8p = 4 + 8p + -8p

Combine like terms: -18p + -8p = -26p
-48 + -26p = 4 + 8p + -8p

Combine like terms: 8p + -8p = 0
-48 + -26p = 4 + 0
-48 + -26p = 4

Add '48' to each side of the equation.
-48 + 48 + -26p = 4 + 48

Combine like terms: -48 + 48 = 0
0 + -26p = 4 + 48
-26p = 4 + 48

Combine like terms: 4 + 48 = 52
-26p = 52

Divide each side by '-26'.
p = -2

Simplifying
p = -2

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