1-0.4(p-5)=0.83(3p-5)

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Solution for 1-0.4(p-5)=0.83(3p-5) equation:


Simplifying
1 + -0.4(p + -5) = 0.83(3p + -5)

Reorder the terms:
1 + -0.4(-5 + p) = 0.83(3p + -5)
1 + (-5 * -0.4 + p * -0.4) = 0.83(3p + -5)
1 + (2 + -0.4p) = 0.83(3p + -5)

Combine like terms: 1 + 2 = 3
3 + -0.4p = 0.83(3p + -5)

Reorder the terms:
3 + -0.4p = 0.83(-5 + 3p)
3 + -0.4p = (-5 * 0.83 + 3p * 0.83)
3 + -0.4p = (-4.15 + 2.49p)

Solving
3 + -0.4p = -4.15 + 2.49p

Solving for variable 'p'.

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

Add '-2.49p' to each side of the equation.
3 + -0.4p + -2.49p = -4.15 + 2.49p + -2.49p

Combine like terms: -0.4p + -2.49p = -2.89p
3 + -2.89p = -4.15 + 2.49p + -2.49p

Combine like terms: 2.49p + -2.49p = 0.00
3 + -2.89p = -4.15 + 0.00
3 + -2.89p = -4.15

Add '-3' to each side of the equation.
3 + -3 + -2.89p = -4.15 + -3

Combine like terms: 3 + -3 = 0
0 + -2.89p = -4.15 + -3
-2.89p = -4.15 + -3

Combine like terms: -4.15 + -3 = -7.15
-2.89p = -7.15

Divide each side by '-2.89'.
p = 2.474048443

Simplifying
p = 2.474048443

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