0.25(4p-3)=0.05(10p-9)

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Solution for 0.25(4p-3)=0.05(10p-9) equation: 


Simplifying
0.25(4p + -3) = 0.05(10p + -9)

Reorder the terms:
0.25(-3 + 4p) = 0.05(10p + -9)
(-3 * 0.25 + 4p * 0.25) = 0.05(10p + -9)
(-0.75 + 1p) = 0.05(10p + -9)

Reorder the terms:
-0.75 + 1p = 0.05(-9 + 10p)
-0.75 + 1p = (-9 * 0.05 + 10p * 0.05)
-0.75 + 1p = (-0.45 + 0.5p)

Solving
-0.75 + 1p = -0.45 + 0.5p

Solving for variable 'p'.

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

Add '-0.5p' to each side of the equation.
-0.75 + 1p + -0.5p = -0.45 + 0.5p + -0.5p

Combine like terms: 1p + -0.5p = 0.5p
-0.75 + 0.5p = -0.45 + 0.5p + -0.5p

Combine like terms: 0.5p + -0.5p = 0.0
-0.75 + 0.5p = -0.45 + 0.0
-0.75 + 0.5p = -0.45

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.5p = -0.45 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.5p = -0.45 + 0.75
0.5p = -0.45 + 0.75

Combine like terms: -0.45 + 0.75 = 0.3
0.5p = 0.3

Divide each side by '0.5'.
p = 0.6

Simplifying
p = 0.6

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