19(1-2p)-3(p-4)=32

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Solution for 19(1-2p)-3(p-4)=32 equation: 


Simplifying
19(1 + -2p) + -3(p + -4) = 32
(1 * 19 + -2p * 19) + -3(p + -4) = 32
(19 + -38p) + -3(p + -4) = 32

Reorder the terms:
19 + -38p + -3(-4 + p) = 32
19 + -38p + (-4 * -3 + p * -3) = 32
19 + -38p + (12 + -3p) = 32

Reorder the terms:
19 + 12 + -38p + -3p = 32

Combine like terms: 19 + 12 = 31
31 + -38p + -3p = 32

Combine like terms: -38p + -3p = -41p
31 + -41p = 32

Solving
31 + -41p = 32

Solving for variable 'p'.

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

Add '-31' to each side of the equation.
31 + -31 + -41p = 32 + -31

Combine like terms: 31 + -31 = 0
0 + -41p = 32 + -31
-41p = 32 + -31

Combine like terms: 32 + -31 = 1
-41p = 1

Divide each side by '-41'.
p = -0.0243902439

Simplifying
p = -0.0243902439

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