-43.75=0.2p+3.3(-2.6p-3.1)

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Solution for -43.75=0.2p+3.3(-2.6p-3.1) equation:


Simplifying
-43.75 = 0.2p + 3.3(-2.6p + -3.1)

Reorder the terms:
-43.75 = 0.2p + 3.3(-3.1 + -2.6p)
-43.75 = 0.2p + (-3.1 * 3.3 + -2.6p * 3.3)
-43.75 = 0.2p + (-10.23 + -8.58p)

Reorder the terms:
-43.75 = -10.23 + 0.2p + -8.58p

Combine like terms: 0.2p + -8.58p = -8.38p
-43.75 = -10.23 + -8.38p

Solving
-43.75 = -10.23 + -8.38p

Solving for variable 'p'.

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

Add '8.38p' to each side of the equation.
-43.75 + 8.38p = -10.23 + -8.38p + 8.38p

Combine like terms: -8.38p + 8.38p = 0.00
-43.75 + 8.38p = -10.23 + 0.00
-43.75 + 8.38p = -10.23

Add '43.75' to each side of the equation.
-43.75 + 43.75 + 8.38p = -10.23 + 43.75

Combine like terms: -43.75 + 43.75 = 0.00
0.00 + 8.38p = -10.23 + 43.75
8.38p = -10.23 + 43.75

Combine like terms: -10.23 + 43.75 = 33.52
8.38p = 33.52

Divide each side by '8.38'.
p = 4

Simplifying
p = 4

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