0.2p+9=8(0.4p-1)

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Solution for 0.2p+9=8(0.4p-1) equation:


Simplifying
0.2p + 9 = 8(0.4p + -1)

Reorder the terms:
9 + 0.2p = 8(0.4p + -1)

Reorder the terms:
9 + 0.2p = 8(-1 + 0.4p)
9 + 0.2p = (-1 * 8 + 0.4p * 8)
9 + 0.2p = (-8 + 3.2p)

Solving
9 + 0.2p = -8 + 3.2p

Solving for variable 'p'.

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

Add '-3.2p' to each side of the equation.
9 + 0.2p + -3.2p = -8 + 3.2p + -3.2p

Combine like terms: 0.2p + -3.2p = -3p
9 + -3p = -8 + 3.2p + -3.2p

Combine like terms: 3.2p + -3.2p = 0.0
9 + -3p = -8 + 0.0
9 + -3p = -8

Add '-9' to each side of the equation.
9 + -9 + -3p = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -3p = -8 + -9
-3p = -8 + -9

Combine like terms: -8 + -9 = -17
-3p = -17

Divide each side by '-3'.
p = 5.666666667

Simplifying
p = 5.666666667

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