0.03p-0.02(6-4p)=0.06(p-3)-0.14

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Solution for 0.03p-0.02(6-4p)=0.06(p-3)-0.14 equation:


Simplifying
0.03p + -0.02(6 + -4p) = 0.06(p + -3) + -0.14
0.03p + (6 * -0.02 + -4p * -0.02) = 0.06(p + -3) + -0.14
0.03p + (-0.12 + 0.08p) = 0.06(p + -3) + -0.14

Reorder the terms:
-0.12 + 0.03p + 0.08p = 0.06(p + -3) + -0.14

Combine like terms: 0.03p + 0.08p = 0.11p
-0.12 + 0.11p = 0.06(p + -3) + -0.14

Reorder the terms:
-0.12 + 0.11p = 0.06(-3 + p) + -0.14
-0.12 + 0.11p = (-3 * 0.06 + p * 0.06) + -0.14
-0.12 + 0.11p = (-0.18 + 0.06p) + -0.14

Reorder the terms:
-0.12 + 0.11p = -0.18 + -0.14 + 0.06p

Combine like terms: -0.18 + -0.14 = -0.32
-0.12 + 0.11p = -0.32 + 0.06p

Solving
-0.12 + 0.11p = -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.
-0.12 + 0.11p + -0.06p = -0.32 + 0.06p + -0.06p

Combine like terms: 0.11p + -0.06p = 0.05p
-0.12 + 0.05p = -0.32 + 0.06p + -0.06p

Combine like terms: 0.06p + -0.06p = 0.00
-0.12 + 0.05p = -0.32 + 0.00
-0.12 + 0.05p = -0.32

Add '0.12' to each side of the equation.
-0.12 + 0.12 + 0.05p = -0.32 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 0.05p = -0.32 + 0.12
0.05p = -0.32 + 0.12

Combine like terms: -0.32 + 0.12 = -0.2
0.05p = -0.2

Divide each side by '0.05'.
p = -4

Simplifying
p = -4

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