30-6p=-4(2p-5)+4

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Solution for 30-6p=-4(2p-5)+4 equation:


Simplifying
30 + -6p = -4(2p + -5) + 4

Reorder the terms:
30 + -6p = -4(-5 + 2p) + 4
30 + -6p = (-5 * -4 + 2p * -4) + 4
30 + -6p = (20 + -8p) + 4

Reorder the terms:
30 + -6p = 20 + 4 + -8p

Combine like terms: 20 + 4 = 24
30 + -6p = 24 + -8p

Solving
30 + -6p = 24 + -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.
30 + -6p + 8p = 24 + -8p + 8p

Combine like terms: -6p + 8p = 2p
30 + 2p = 24 + -8p + 8p

Combine like terms: -8p + 8p = 0
30 + 2p = 24 + 0
30 + 2p = 24

Add '-30' to each side of the equation.
30 + -30 + 2p = 24 + -30

Combine like terms: 30 + -30 = 0
0 + 2p = 24 + -30
2p = 24 + -30

Combine like terms: 24 + -30 = -6
2p = -6

Divide each side by '2'.
p = -3

Simplifying
p = -3

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