-7(3P+2)-8=5(2P+8)

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Solution for -7(3P+2)-8=5(2P+8) equation: 


Simplifying
-7(3P + 2) + -8 = 5(2P + 8)

Reorder the terms:
-7(2 + 3P) + -8 = 5(2P + 8)
(2 * -7 + 3P * -7) + -8 = 5(2P + 8)
(-14 + -21P) + -8 = 5(2P + 8)

Reorder the terms:
-14 + -8 + -21P = 5(2P + 8)

Combine like terms: -14 + -8 = -22
-22 + -21P = 5(2P + 8)

Reorder the terms:
-22 + -21P = 5(8 + 2P)
-22 + -21P = (8 * 5 + 2P * 5)
-22 + -21P = (40 + 10P)

Solving
-22 + -21P = 40 + 10P

Solving for variable 'P'.

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

Add '-10P' to each side of the equation.
-22 + -21P + -10P = 40 + 10P + -10P

Combine like terms: -21P + -10P = -31P
-22 + -31P = 40 + 10P + -10P

Combine like terms: 10P + -10P = 0
-22 + -31P = 40 + 0
-22 + -31P = 40

Add '22' to each side of the equation.
-22 + 22 + -31P = 40 + 22

Combine like terms: -22 + 22 = 0
0 + -31P = 40 + 22
-31P = 40 + 22

Combine like terms: 40 + 22 = 62
-31P = 62

Divide each side by '-31'.
P = -2

Simplifying
P = -2

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