100-5p=3(p-.3)+36

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Solution for 100-5p=3(p-.3)+36 equation:


Simplifying
100 + -5p = 3(p + -0.3) + 36

Reorder the terms:
100 + -5p = 3(-0.3 + p) + 36
100 + -5p = (-0.3 * 3 + p * 3) + 36
100 + -5p = (-0.9 + 3p) + 36

Reorder the terms:
100 + -5p = -0.9 + 36 + 3p

Combine like terms: -0.9 + 36 = 35.1
100 + -5p = 35.1 + 3p

Solving
100 + -5p = 35.1 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
100 + -5p + -3p = 35.1 + 3p + -3p

Combine like terms: -5p + -3p = -8p
100 + -8p = 35.1 + 3p + -3p

Combine like terms: 3p + -3p = 0
100 + -8p = 35.1 + 0
100 + -8p = 35.1

Add '-100' to each side of the equation.
100 + -100 + -8p = 35.1 + -100

Combine like terms: 100 + -100 = 0
0 + -8p = 35.1 + -100
-8p = 35.1 + -100

Combine like terms: 35.1 + -100 = -64.9
-8p = -64.9

Divide each side by '-8'.
p = 8.1125

Simplifying
p = 8.1125

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