4(p-6)+6p=8(p-7)

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Solution for 4(p-6)+6p=8(p-7) equation:


Simplifying
4(p + -6) + 6p = 8(p + -7)

Reorder the terms:
4(-6 + p) + 6p = 8(p + -7)
(-6 * 4 + p * 4) + 6p = 8(p + -7)
(-24 + 4p) + 6p = 8(p + -7)

Combine like terms: 4p + 6p = 10p
-24 + 10p = 8(p + -7)

Reorder the terms:
-24 + 10p = 8(-7 + p)
-24 + 10p = (-7 * 8 + p * 8)
-24 + 10p = (-56 + 8p)

Solving
-24 + 10p = -56 + 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.
-24 + 10p + -8p = -56 + 8p + -8p

Combine like terms: 10p + -8p = 2p
-24 + 2p = -56 + 8p + -8p

Combine like terms: 8p + -8p = 0
-24 + 2p = -56 + 0
-24 + 2p = -56

Add '24' to each side of the equation.
-24 + 24 + 2p = -56 + 24

Combine like terms: -24 + 24 = 0
0 + 2p = -56 + 24
2p = -56 + 24

Combine like terms: -56 + 24 = -32
2p = -32

Divide each side by '2'.
p = -16

Simplifying
p = -16

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