-0.17p-0.06(5-4p)=0.02(p-3)-0.39

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Solution for -0.17p-0.06(5-4p)=0.02(p-3)-0.39 equation:


Simplifying
-0.17p + -0.06(5 + -4p) = 0.02(p + -3) + -0.39
-0.17p + (5 * -0.06 + -4p * -0.06) = 0.02(p + -3) + -0.39
-0.17p + (-0.3 + 0.24p) = 0.02(p + -3) + -0.39

Reorder the terms:
-0.3 + -0.17p + 0.24p = 0.02(p + -3) + -0.39

Combine like terms: -0.17p + 0.24p = 0.07p
-0.3 + 0.07p = 0.02(p + -3) + -0.39

Reorder the terms:
-0.3 + 0.07p = 0.02(-3 + p) + -0.39
-0.3 + 0.07p = (-3 * 0.02 + p * 0.02) + -0.39
-0.3 + 0.07p = (-0.06 + 0.02p) + -0.39

Reorder the terms:
-0.3 + 0.07p = -0.06 + -0.39 + 0.02p

Combine like terms: -0.06 + -0.39 = -0.45
-0.3 + 0.07p = -0.45 + 0.02p

Solving
-0.3 + 0.07p = -0.45 + 0.02p

Solving for variable 'p'.

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

Add '-0.02p' to each side of the equation.
-0.3 + 0.07p + -0.02p = -0.45 + 0.02p + -0.02p

Combine like terms: 0.07p + -0.02p = 0.05p
-0.3 + 0.05p = -0.45 + 0.02p + -0.02p

Combine like terms: 0.02p + -0.02p = 0.00
-0.3 + 0.05p = -0.45 + 0.00
-0.3 + 0.05p = -0.45

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.05p = -0.45 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.05p = -0.45 + 0.3
0.05p = -0.45 + 0.3

Combine like terms: -0.45 + 0.3 = -0.15
0.05p = -0.15

Divide each side by '0.05'.
p = -3

Simplifying
p = -3

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