0.89(4p+5)=4(0.5p-2)

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Solution for 0.89(4p+5)=4(0.5p-2) equation: 


Simplifying
0.89(4p + 5) = 4(0.5p + -2)

Reorder the terms:
0.89(5 + 4p) = 4(0.5p + -2)
(5 * 0.89 + 4p * 0.89) = 4(0.5p + -2)
(4.45 + 3.56p) = 4(0.5p + -2)

Reorder the terms:
4.45 + 3.56p = 4(-2 + 0.5p)
4.45 + 3.56p = (-2 * 4 + 0.5p * 4)
4.45 + 3.56p = (-8 + 2p)

Solving
4.45 + 3.56p = -8 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
4.45 + 3.56p + -2p = -8 + 2p + -2p

Combine like terms: 3.56p + -2p = 1.56p
4.45 + 1.56p = -8 + 2p + -2p

Combine like terms: 2p + -2p = 0
4.45 + 1.56p = -8 + 0
4.45 + 1.56p = -8

Add '-4.45' to each side of the equation.
4.45 + -4.45 + 1.56p = -8 + -4.45

Combine like terms: 4.45 + -4.45 = 0.00
0.00 + 1.56p = -8 + -4.45
1.56p = -8 + -4.45

Combine like terms: -8 + -4.45 = -12.45
1.56p = -12.45

Divide each side by '1.56'.
p = -7.980769231

Simplifying
p = -7.980769231

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