0.02p-0.02(3-3p)=0.04(p-2)-0.18

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Solution for 0.02p-0.02(3-3p)=0.04(p-2)-0.18 equation:


Simplifying
0.02p + -0.02(3 + -3p) = 0.04(p + -2) + -0.18
0.02p + (3 * -0.02 + -3p * -0.02) = 0.04(p + -2) + -0.18
0.02p + (-0.06 + 0.06p) = 0.04(p + -2) + -0.18

Reorder the terms:
-0.06 + 0.02p + 0.06p = 0.04(p + -2) + -0.18

Combine like terms: 0.02p + 0.06p = 0.08p
-0.06 + 0.08p = 0.04(p + -2) + -0.18

Reorder the terms:
-0.06 + 0.08p = 0.04(-2 + p) + -0.18
-0.06 + 0.08p = (-2 * 0.04 + p * 0.04) + -0.18
-0.06 + 0.08p = (-0.08 + 0.04p) + -0.18

Reorder the terms:
-0.06 + 0.08p = -0.08 + -0.18 + 0.04p

Combine like terms: -0.08 + -0.18 = -0.26
-0.06 + 0.08p = -0.26 + 0.04p

Solving
-0.06 + 0.08p = -0.26 + 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 = -0.26 + 0.04p + -0.04p

Combine like terms: 0.08p + -0.04p = 0.04p
-0.06 + 0.04p = -0.26 + 0.04p + -0.04p

Combine like terms: 0.04p + -0.04p = 0.00
-0.06 + 0.04p = -0.26 + 0.00
-0.06 + 0.04p = -0.26

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.04p = -0.26 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.04p = -0.26 + 0.06
0.04p = -0.26 + 0.06

Combine like terms: -0.26 + 0.06 = -0.2
0.04p = -0.2

Divide each side by '0.04'.
p = -5

Simplifying
p = -5

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