4(3p+2)+6=3(2p-5)+5

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Solution for 4(3p+2)+6=3(2p-5)+5 equation:


Simplifying
4(3p + 2) + 6 = 3(2p + -5) + 5

Reorder the terms:
4(2 + 3p) + 6 = 3(2p + -5) + 5
(2 * 4 + 3p * 4) + 6 = 3(2p + -5) + 5
(8 + 12p) + 6 = 3(2p + -5) + 5

Reorder the terms:
8 + 6 + 12p = 3(2p + -5) + 5

Combine like terms: 8 + 6 = 14
14 + 12p = 3(2p + -5) + 5

Reorder the terms:
14 + 12p = 3(-5 + 2p) + 5
14 + 12p = (-5 * 3 + 2p * 3) + 5
14 + 12p = (-15 + 6p) + 5

Reorder the terms:
14 + 12p = -15 + 5 + 6p

Combine like terms: -15 + 5 = -10
14 + 12p = -10 + 6p

Solving
14 + 12p = -10 + 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.
14 + 12p + -6p = -10 + 6p + -6p

Combine like terms: 12p + -6p = 6p
14 + 6p = -10 + 6p + -6p

Combine like terms: 6p + -6p = 0
14 + 6p = -10 + 0
14 + 6p = -10

Add '-14' to each side of the equation.
14 + -14 + 6p = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 6p = -10 + -14
6p = -10 + -14

Combine like terms: -10 + -14 = -24
6p = -24

Divide each side by '6'.
p = -4

Simplifying
p = -4

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