6(p+10)-3(2p+12)=-4p+4

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Solution for 6(p+10)-3(2p+12)=-4p+4 equation:


Simplifying
6(p + 10) + -3(2p + 12) = -4p + 4

Reorder the terms:
6(10 + p) + -3(2p + 12) = -4p + 4
(10 * 6 + p * 6) + -3(2p + 12) = -4p + 4
(60 + 6p) + -3(2p + 12) = -4p + 4

Reorder the terms:
60 + 6p + -3(12 + 2p) = -4p + 4
60 + 6p + (12 * -3 + 2p * -3) = -4p + 4
60 + 6p + (-36 + -6p) = -4p + 4

Reorder the terms:
60 + -36 + 6p + -6p = -4p + 4

Combine like terms: 60 + -36 = 24
24 + 6p + -6p = -4p + 4

Combine like terms: 6p + -6p = 0
24 + 0 = -4p + 4
24 = -4p + 4

Reorder the terms:
24 = 4 + -4p

Solving
24 = 4 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
24 + 4p = 4 + -4p + 4p

Combine like terms: -4p + 4p = 0
24 + 4p = 4 + 0
24 + 4p = 4

Add '-24' to each side of the equation.
24 + -24 + 4p = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 4p = 4 + -24
4p = 4 + -24

Combine like terms: 4 + -24 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5

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