7a(s-4t)+5b(s-4t)+4(s-4t)=

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Solution for 7a(s-4t)+5b(s-4t)+4(s-4t)= equation: 


Simplifying
7a(s + -4t) + 5b(s + -4t) + 4(s + -4t) = 0
(s * 7a + -4t * 7a) + 5b(s + -4t) + 4(s + -4t) = 0
(7as + -28at) + 5b(s + -4t) + 4(s + -4t) = 0
7as + -28at + (s * 5b + -4t * 5b) + 4(s + -4t) = 0
7as + -28at + (5bs + -20bt) + 4(s + -4t) = 0
7as + -28at + 5bs + -20bt + (s * 4 + -4t * 4) = 0
7as + -28at + 5bs + -20bt + (4s + -16t) = 0

Solving
7as + -28at + 5bs + -20bt + 4s + -16t = 0

Solving for variable 'a'.

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

Add '-5bs' to each side of the equation.
7as + -28at + 5bs + -20bt + 4s + -5bs + -16t = 0 + -5bs

Reorder the terms:
7as + -28at + 5bs + -5bs + -20bt + 4s + -16t = 0 + -5bs

Combine like terms: 5bs + -5bs = 0
7as + -28at + 0 + -20bt + 4s + -16t = 0 + -5bs
7as + -28at + -20bt + 4s + -16t = 0 + -5bs
Remove the zero:
7as + -28at + -20bt + 4s + -16t = -5bs

Add '20bt' to each side of the equation.
7as + -28at + -20bt + 4s + 20bt + -16t = -5bs + 20bt

Reorder the terms:
7as + -28at + -20bt + 20bt + 4s + -16t = -5bs + 20bt

Combine like terms: -20bt + 20bt = 0
7as + -28at + 0 + 4s + -16t = -5bs + 20bt
7as + -28at + 4s + -16t = -5bs + 20bt

Add '-4s' to each side of the equation.
7as + -28at + 4s + -4s + -16t = -5bs + 20bt + -4s

Combine like terms: 4s + -4s = 0
7as + -28at + 0 + -16t = -5bs + 20bt + -4s
7as + -28at + -16t = -5bs + 20bt + -4s

Add '16t' to each side of the equation.
7as + -28at + -16t + 16t = -5bs + 20bt + -4s + 16t

Combine like terms: -16t + 16t = 0
7as + -28at + 0 = -5bs + 20bt + -4s + 16t
7as + -28at = -5bs + 20bt + -4s + 16t

Reorder the terms:
7as + -28at + 5bs + -20bt + 4s + -16t = -5bs + 5bs + 20bt + -20bt + -4s + 4s + 16t + -16t

Combine like terms: -5bs + 5bs = 0
7as + -28at + 5bs + -20bt + 4s + -16t = 0 + 20bt + -20bt + -4s + 4s + 16t + -16t
7as + -28at + 5bs + -20bt + 4s + -16t = 20bt + -20bt + -4s + 4s + 16t + -16t

Combine like terms: 20bt + -20bt = 0
7as + -28at + 5bs + -20bt + 4s + -16t = 0 + -4s + 4s + 16t + -16t
7as + -28at + 5bs + -20bt + 4s + -16t = -4s + 4s + 16t + -16t

Combine like terms: -4s + 4s = 0
7as + -28at + 5bs + -20bt + 4s + -16t = 0 + 16t + -16t
7as + -28at + 5bs + -20bt + 4s + -16t = 16t + -16t

Combine like terms: 16t + -16t = 0
7as + -28at + 5bs + -20bt + 4s + -16t = 0

The solution to this equation could not be determined.

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