0.02p-0.02(3-3p)=0.04(p-6)-0.22

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Solution for 0.02p-0.02(3-3p)=0.04(p-6)-0.22 equation: 


Simplifying
0.02p + -0.02(3 + -3p) = 0.04(p + -6) + -0.22
0.02p + (3 * -0.02 + -3p * -0.02) = 0.04(p + -6) + -0.22
0.02p + (-0.06 + 0.06p) = 0.04(p + -6) + -0.22

Reorder the terms:
-0.06 + 0.02p + 0.06p = 0.04(p + -6) + -0.22

Combine like terms: 0.02p + 0.06p = 0.08p
-0.06 + 0.08p = 0.04(p + -6) + -0.22

Reorder the terms:
-0.06 + 0.08p = 0.04(-6 + p) + -0.22
-0.06 + 0.08p = (-6 * 0.04 + p * 0.04) + -0.22
-0.06 + 0.08p = (-0.24 + 0.04p) + -0.22

Reorder the terms:
-0.06 + 0.08p = -0.24 + -0.22 + 0.04p

Combine like terms: -0.24 + -0.22 = -0.46
-0.06 + 0.08p = -0.46 + 0.04p

Solving
-0.06 + 0.08p = -0.46 + 0.04p

Solving for variable 'p'.

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

Add '-0.04p' to each side of the equation.
-0.06 + 0.08p + -0.04p = -0.46 + 0.04p + -0.04p

Combine like terms: 0.08p + -0.04p = 0.04p
-0.06 + 0.04p = -0.46 + 0.04p + -0.04p

Combine like terms: 0.04p + -0.04p = 0.00
-0.06 + 0.04p = -0.46 + 0.00
-0.06 + 0.04p = -0.46

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.04p = -0.46 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.04p = -0.46 + 0.06
0.04p = -0.46 + 0.06

Combine like terms: -0.46 + 0.06 = -0.4
0.04p = -0.4

Divide each side by '0.04'.
p = -10

Simplifying
p = -10

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