0.23p-0.05(6-6p)=0.04(p-3)-0.24

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Solution for 0.23p-0.05(6-6p)=0.04(p-3)-0.24 equation:


Simplifying
0.23p + -0.05(6 + -6p) = 0.04(p + -3) + -0.24
0.23p + (6 * -0.05 + -6p * -0.05) = 0.04(p + -3) + -0.24
0.23p + (-0.3 + 0.3p) = 0.04(p + -3) + -0.24

Reorder the terms:
-0.3 + 0.23p + 0.3p = 0.04(p + -3) + -0.24

Combine like terms: 0.23p + 0.3p = 0.53p
-0.3 + 0.53p = 0.04(p + -3) + -0.24

Reorder the terms:
-0.3 + 0.53p = 0.04(-3 + p) + -0.24
-0.3 + 0.53p = (-3 * 0.04 + p * 0.04) + -0.24
-0.3 + 0.53p = (-0.12 + 0.04p) + -0.24

Reorder the terms:
-0.3 + 0.53p = -0.12 + -0.24 + 0.04p

Combine like terms: -0.12 + -0.24 = -0.36
-0.3 + 0.53p = -0.36 + 0.04p

Solving
-0.3 + 0.53p = -0.36 + 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.
-0.3 + 0.53p + -0.04p = -0.36 + 0.04p + -0.04p

Combine like terms: 0.53p + -0.04p = 0.49p
-0.3 + 0.49p = -0.36 + 0.04p + -0.04p

Combine like terms: 0.04p + -0.04p = 0.00
-0.3 + 0.49p = -0.36 + 0.00
-0.3 + 0.49p = -0.36

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.49p = -0.36 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.49p = -0.36 + 0.3
0.49p = -0.36 + 0.3

Combine like terms: -0.36 + 0.3 = -0.06
0.49p = -0.06

Divide each side by '0.49'.
p = -0.1224489796

Simplifying
p = -0.1224489796

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