5(3t-4)+4t=40-t

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Solution for 5(3t-4)+4t=40-t equation:


Simplifying
5(3t + -4) + 4t = 40 + -1t

Reorder the terms:
5(-4 + 3t) + 4t = 40 + -1t
(-4 * 5 + 3t * 5) + 4t = 40 + -1t
(-20 + 15t) + 4t = 40 + -1t

Combine like terms: 15t + 4t = 19t
-20 + 19t = 40 + -1t

Solving
-20 + 19t = 40 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-20 + 19t + t = 40 + -1t + t

Combine like terms: 19t + t = 20t
-20 + 20t = 40 + -1t + t

Combine like terms: -1t + t = 0
-20 + 20t = 40 + 0
-20 + 20t = 40

Add '20' to each side of the equation.
-20 + 20 + 20t = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 20t = 40 + 20
20t = 40 + 20

Combine like terms: 40 + 20 = 60
20t = 60

Divide each side by '20'.
t = 3

Simplifying
t = 3

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