10p-5=3(2p-3)-6(-9-p)

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Solution for 10p-5=3(2p-3)-6(-9-p) equation: 


Simplifying
10p + -5 = 3(2p + -3) + -6(-9 + -1p)

Reorder the terms:
-5 + 10p = 3(2p + -3) + -6(-9 + -1p)

Reorder the terms:
-5 + 10p = 3(-3 + 2p) + -6(-9 + -1p)
-5 + 10p = (-3 * 3 + 2p * 3) + -6(-9 + -1p)
-5 + 10p = (-9 + 6p) + -6(-9 + -1p)
-5 + 10p = -9 + 6p + (-9 * -6 + -1p * -6)
-5 + 10p = -9 + 6p + (54 + 6p)

Reorder the terms:
-5 + 10p = -9 + 54 + 6p + 6p

Combine like terms: -9 + 54 = 45
-5 + 10p = 45 + 6p + 6p

Combine like terms: 6p + 6p = 12p
-5 + 10p = 45 + 12p

Solving
-5 + 10p = 45 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-5 + 10p + -12p = 45 + 12p + -12p

Combine like terms: 10p + -12p = -2p
-5 + -2p = 45 + 12p + -12p

Combine like terms: 12p + -12p = 0
-5 + -2p = 45 + 0
-5 + -2p = 45

Add '5' to each side of the equation.
-5 + 5 + -2p = 45 + 5

Combine like terms: -5 + 5 = 0
0 + -2p = 45 + 5
-2p = 45 + 5

Combine like terms: 45 + 5 = 50
-2p = 50

Divide each side by '-2'.
p = -25

Simplifying
p = -25

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