.4(10t-50)=4(9-6t)

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Solution for .4(10t-50)=4(9-6t) equation:


Simplifying
0.4(10t + -50) = 4(9 + -6t)

Reorder the terms:
0.4(-50 + 10t) = 4(9 + -6t)
(-50 * 0.4 + 10t * 0.4) = 4(9 + -6t)
(-20 + 4t) = 4(9 + -6t)
-20 + 4t = (9 * 4 + -6t * 4)
-20 + 4t = (36 + -24t)

Solving
-20 + 4t = 36 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
-20 + 4t + 24t = 36 + -24t + 24t

Combine like terms: 4t + 24t = 28t
-20 + 28t = 36 + -24t + 24t

Combine like terms: -24t + 24t = 0
-20 + 28t = 36 + 0
-20 + 28t = 36

Add '20' to each side of the equation.
-20 + 20 + 28t = 36 + 20

Combine like terms: -20 + 20 = 0
0 + 28t = 36 + 20
28t = 36 + 20

Combine like terms: 36 + 20 = 56
28t = 56

Divide each side by '28'.
t = 2

Simplifying
t = 2

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