0.9p+106=0.5p+0.8(p-8)

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Solution for 0.9p+106=0.5p+0.8(p-8) equation: 


Simplifying
0.9p + 106 = 0.5p + 0.8(p + -8)

Reorder the terms:
106 + 0.9p = 0.5p + 0.8(p + -8)

Reorder the terms:
106 + 0.9p = 0.5p + 0.8(-8 + p)
106 + 0.9p = 0.5p + (-8 * 0.8 + p * 0.8)
106 + 0.9p = 0.5p + (-6.4 + 0.8p)

Reorder the terms:
106 + 0.9p = -6.4 + 0.5p + 0.8p

Combine like terms: 0.5p + 0.8p = 1.3p
106 + 0.9p = -6.4 + 1.3p

Solving
106 + 0.9p = -6.4 + 1.3p

Solving for variable 'p'.

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

Add '-1.3p' to each side of the equation.
106 + 0.9p + -1.3p = -6.4 + 1.3p + -1.3p

Combine like terms: 0.9p + -1.3p = -0.4p
106 + -0.4p = -6.4 + 1.3p + -1.3p

Combine like terms: 1.3p + -1.3p = 0.0
106 + -0.4p = -6.4 + 0.0
106 + -0.4p = -6.4

Add '-106' to each side of the equation.
106 + -106 + -0.4p = -6.4 + -106

Combine like terms: 106 + -106 = 0
0 + -0.4p = -6.4 + -106
-0.4p = -6.4 + -106

Combine like terms: -6.4 + -106 = -112.4
-0.4p = -112.4

Divide each side by '-0.4'.
p = 281

Simplifying
p = 281

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