13-0.4(p-1)=0.2(4p-1)

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Solution for 13-0.4(p-1)=0.2(4p-1) equation:


Simplifying
13 + -0.4(p + -1) = 0.2(4p + -1)

Reorder the terms:
13 + -0.4(-1 + p) = 0.2(4p + -1)
13 + (-1 * -0.4 + p * -0.4) = 0.2(4p + -1)
13 + (0.4 + -0.4p) = 0.2(4p + -1)

Combine like terms: 13 + 0.4 = 13.4
13.4 + -0.4p = 0.2(4p + -1)

Reorder the terms:
13.4 + -0.4p = 0.2(-1 + 4p)
13.4 + -0.4p = (-1 * 0.2 + 4p * 0.2)
13.4 + -0.4p = (-0.2 + 0.8p)

Solving
13.4 + -0.4p = -0.2 + 0.8p

Solving for variable 'p'.

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

Add '-0.8p' to each side of the equation.
13.4 + -0.4p + -0.8p = -0.2 + 0.8p + -0.8p

Combine like terms: -0.4p + -0.8p = -1.2p
13.4 + -1.2p = -0.2 + 0.8p + -0.8p

Combine like terms: 0.8p + -0.8p = 0.0
13.4 + -1.2p = -0.2 + 0.0
13.4 + -1.2p = -0.2

Add '-13.4' to each side of the equation.
13.4 + -13.4 + -1.2p = -0.2 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + -1.2p = -0.2 + -13.4
-1.2p = -0.2 + -13.4

Combine like terms: -0.2 + -13.4 = -13.6
-1.2p = -13.6

Divide each side by '-1.2'.
p = 11.33333333

Simplifying
p = 11.33333333

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