-0.02p-0.03(6-3p)=0.04(p-6)-0.27

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Solution for -0.02p-0.03(6-3p)=0.04(p-6)-0.27 equation: 


Simplifying
-0.02p + -0.03(6 + -3p) = 0.04(p + -6) + -0.27
-0.02p + (6 * -0.03 + -3p * -0.03) = 0.04(p + -6) + -0.27
-0.02p + (-0.18 + 0.09p) = 0.04(p + -6) + -0.27

Reorder the terms:
-0.18 + -0.02p + 0.09p = 0.04(p + -6) + -0.27

Combine like terms: -0.02p + 0.09p = 0.07p
-0.18 + 0.07p = 0.04(p + -6) + -0.27

Reorder the terms:
-0.18 + 0.07p = 0.04(-6 + p) + -0.27
-0.18 + 0.07p = (-6 * 0.04 + p * 0.04) + -0.27
-0.18 + 0.07p = (-0.24 + 0.04p) + -0.27

Reorder the terms:
-0.18 + 0.07p = -0.24 + -0.27 + 0.04p

Combine like terms: -0.24 + -0.27 = -0.51
-0.18 + 0.07p = -0.51 + 0.04p

Solving
-0.18 + 0.07p = -0.51 + 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.
-0.18 + 0.07p + -0.04p = -0.51 + 0.04p + -0.04p

Combine like terms: 0.07p + -0.04p = 0.03p
-0.18 + 0.03p = -0.51 + 0.04p + -0.04p

Combine like terms: 0.04p + -0.04p = 0.00
-0.18 + 0.03p = -0.51 + 0.00
-0.18 + 0.03p = -0.51

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.03p = -0.51 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.03p = -0.51 + 0.18
0.03p = -0.51 + 0.18

Combine like terms: -0.51 + 0.18 = -0.33
0.03p = -0.33

Divide each side by '0.03'.
p = -11

Simplifying
p = -11

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