-0.02p-0.03(2-3p)=0.05(p-3)-17

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Solution for -0.02p-0.03(2-3p)=0.05(p-3)-17 equation:


Simplifying
-0.02p + -0.03(2 + -3p) = 0.05(p + -3) + -17
-0.02p + (2 * -0.03 + -3p * -0.03) = 0.05(p + -3) + -17
-0.02p + (-0.06 + 0.09p) = 0.05(p + -3) + -17

Reorder the terms:
-0.06 + -0.02p + 0.09p = 0.05(p + -3) + -17

Combine like terms: -0.02p + 0.09p = 0.07p
-0.06 + 0.07p = 0.05(p + -3) + -17

Reorder the terms:
-0.06 + 0.07p = 0.05(-3 + p) + -17
-0.06 + 0.07p = (-3 * 0.05 + p * 0.05) + -17
-0.06 + 0.07p = (-0.15 + 0.05p) + -17

Reorder the terms:
-0.06 + 0.07p = -0.15 + -17 + 0.05p

Combine like terms: -0.15 + -17 = -17.15
-0.06 + 0.07p = -17.15 + 0.05p

Solving
-0.06 + 0.07p = -17.15 + 0.05p

Solving for variable 'p'.

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

Add '-0.05p' to each side of the equation.
-0.06 + 0.07p + -0.05p = -17.15 + 0.05p + -0.05p

Combine like terms: 0.07p + -0.05p = 0.02p
-0.06 + 0.02p = -17.15 + 0.05p + -0.05p

Combine like terms: 0.05p + -0.05p = 0.00
-0.06 + 0.02p = -17.15 + 0.00
-0.06 + 0.02p = -17.15

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.02p = -17.15 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.02p = -17.15 + 0.06
0.02p = -17.15 + 0.06

Combine like terms: -17.15 + 0.06 = -17.09
0.02p = -17.09

Divide each side by '0.02'.
p = -854.5

Simplifying
p = -854.5

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