-6(3p+4)-3=3(2p+7)

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Solution for -6(3p+4)-3=3(2p+7) equation:


Simplifying
-6(3p + 4) + -3 = 3(2p + 7)

Reorder the terms:
-6(4 + 3p) + -3 = 3(2p + 7)
(4 * -6 + 3p * -6) + -3 = 3(2p + 7)
(-24 + -18p) + -3 = 3(2p + 7)

Reorder the terms:
-24 + -3 + -18p = 3(2p + 7)

Combine like terms: -24 + -3 = -27
-27 + -18p = 3(2p + 7)

Reorder the terms:
-27 + -18p = 3(7 + 2p)
-27 + -18p = (7 * 3 + 2p * 3)
-27 + -18p = (21 + 6p)

Solving
-27 + -18p = 21 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-27 + -18p + -6p = 21 + 6p + -6p

Combine like terms: -18p + -6p = -24p
-27 + -24p = 21 + 6p + -6p

Combine like terms: 6p + -6p = 0
-27 + -24p = 21 + 0
-27 + -24p = 21

Add '27' to each side of the equation.
-27 + 27 + -24p = 21 + 27

Combine like terms: -27 + 27 = 0
0 + -24p = 21 + 27
-24p = 21 + 27

Combine like terms: 21 + 27 = 48
-24p = 48

Divide each side by '-24'.
p = -2

Simplifying
p = -2

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