3+5(s-4t)=8s-32t

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Solution for 3+5(s-4t)=8s-32t equation:


Simplifying
3 + 5(s + -4t) = 8s + -32t
3 + (s * 5 + -4t * 5) = 8s + -32t
3 + (5s + -20t) = 8s + -32t

Solving
3 + 5s + -20t = 8s + -32t

Solving for variable 's'.

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

Add '-8s' to each side of the equation.
3 + 5s + -8s + -20t = 8s + -8s + -32t

Combine like terms: 5s + -8s = -3s
3 + -3s + -20t = 8s + -8s + -32t

Combine like terms: 8s + -8s = 0
3 + -3s + -20t = 0 + -32t
3 + -3s + -20t = -32t

Add '-3' to each side of the equation.
3 + -3s + -3 + -20t = -3 + -32t

Reorder the terms:
3 + -3 + -3s + -20t = -3 + -32t

Combine like terms: 3 + -3 = 0
0 + -3s + -20t = -3 + -32t
-3s + -20t = -3 + -32t

Add '20t' to each side of the equation.
-3s + -20t + 20t = -3 + -32t + 20t

Combine like terms: -20t + 20t = 0
-3s + 0 = -3 + -32t + 20t
-3s = -3 + -32t + 20t

Combine like terms: -32t + 20t = -12t
-3s = -3 + -12t

Divide each side by '-3'.
s = 1 + 4t

Simplifying
s = 1 + 4t

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