-0.05p-0.03(3-5p)=0.05(p-3)-0.19

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Solution for -0.05p-0.03(3-5p)=0.05(p-3)-0.19 equation:


Simplifying
-0.05p + -0.03(3 + -5p) = 0.05(p + -3) + -0.19
-0.05p + (3 * -0.03 + -5p * -0.03) = 0.05(p + -3) + -0.19
-0.05p + (-0.09 + 0.15p) = 0.05(p + -3) + -0.19

Reorder the terms:
-0.09 + -0.05p + 0.15p = 0.05(p + -3) + -0.19

Combine like terms: -0.05p + 0.15p = 0.1p
-0.09 + 0.1p = 0.05(p + -3) + -0.19

Reorder the terms:
-0.09 + 0.1p = 0.05(-3 + p) + -0.19
-0.09 + 0.1p = (-3 * 0.05 + p * 0.05) + -0.19
-0.09 + 0.1p = (-0.15 + 0.05p) + -0.19

Reorder the terms:
-0.09 + 0.1p = -0.15 + -0.19 + 0.05p

Combine like terms: -0.15 + -0.19 = -0.34
-0.09 + 0.1p = -0.34 + 0.05p

Solving
-0.09 + 0.1p = -0.34 + 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.
-0.09 + 0.1p + -0.05p = -0.34 + 0.05p + -0.05p

Combine like terms: 0.1p + -0.05p = 0.05p
-0.09 + 0.05p = -0.34 + 0.05p + -0.05p

Combine like terms: 0.05p + -0.05p = 0.00
-0.09 + 0.05p = -0.34 + 0.00
-0.09 + 0.05p = -0.34

Add '0.09' to each side of the equation.
-0.09 + 0.09 + 0.05p = -0.34 + 0.09

Combine like terms: -0.09 + 0.09 = 0.00
0.00 + 0.05p = -0.34 + 0.09
0.05p = -0.34 + 0.09

Combine like terms: -0.34 + 0.09 = -0.25
0.05p = -0.25

Divide each side by '0.05'.
p = -5

Simplifying
p = -5

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