6-P+0.2(0.5)=8+P-6(2)

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Solution for 6-P+0.2(0.5)=8+P-6(2) equation: 


Simplifying
6 + -1P + 0.2(0.5) = 8 + P + -6(2)

Multiply 0.2 * 0.5
6 + -1P + 0.1 = 8 + P + -6(2)

Reorder the terms:
6 + 0.1 + -1P = 8 + P + -6(2)

Combine like terms: 6 + 0.1 = 6.1
6.1 + -1P = 8 + P + -6(2)

Multiply -6 * 2
6.1 + -1P = 8 + P + -12

Reorder the terms:
6.1 + -1P = 8 + -12 + P

Combine like terms: 8 + -12 = -4
6.1 + -1P = -4 + P

Solving
6.1 + -1P = -4 + P

Solving for variable 'P'.

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

Add '-1P' to each side of the equation.
6.1 + -1P + -1P = -4 + P + -1P

Combine like terms: -1P + -1P = -2P
6.1 + -2P = -4 + P + -1P

Combine like terms: P + -1P = 0
6.1 + -2P = -4 + 0
6.1 + -2P = -4

Add '-6.1' to each side of the equation.
6.1 + -6.1 + -2P = -4 + -6.1

Combine like terms: 6.1 + -6.1 = 0.0
0.0 + -2P = -4 + -6.1
-2P = -4 + -6.1

Combine like terms: -4 + -6.1 = -10.1
-2P = -10.1

Divide each side by '-2'.
P = 5.05

Simplifying
P = 5.05

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