-.02-.02(3-5p)=.06(p-4)-.08

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Solution for -.02-.02(3-5p)=.06(p-4)-.08 equation:


Simplifying
-0.02 + -0.02(3 + -5p) = 0.06(p + -4) + -0.08
-0.02 + (3 * -0.02 + -5p * -0.02) = 0.06(p + -4) + -0.08
-0.02 + (-0.06 + 0.1p) = 0.06(p + -4) + -0.08

Combine like terms: -0.02 + -0.06 = -0.08
-0.08 + 0.1p = 0.06(p + -4) + -0.08

Reorder the terms:
-0.08 + 0.1p = 0.06(-4 + p) + -0.08
-0.08 + 0.1p = (-4 * 0.06 + p * 0.06) + -0.08
-0.08 + 0.1p = (-0.24 + 0.06p) + -0.08

Reorder the terms:
-0.08 + 0.1p = -0.24 + -0.08 + 0.06p

Combine like terms: -0.24 + -0.08 = -0.32
-0.08 + 0.1p = -0.32 + 0.06p

Solving
-0.08 + 0.1p = -0.32 + 0.06p

Solving for variable 'p'.

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

Add '-0.06p' to each side of the equation.
-0.08 + 0.1p + -0.06p = -0.32 + 0.06p + -0.06p

Combine like terms: 0.1p + -0.06p = 0.04p
-0.08 + 0.04p = -0.32 + 0.06p + -0.06p

Combine like terms: 0.06p + -0.06p = 0.00
-0.08 + 0.04p = -0.32 + 0.00
-0.08 + 0.04p = -0.32

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.04p = -0.32 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.04p = -0.32 + 0.08
0.04p = -0.32 + 0.08

Combine like terms: -0.32 + 0.08 = -0.24
0.04p = -0.24

Divide each side by '0.04'.
p = -6

Simplifying
p = -6

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