5(t-5)+4t=50-t

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Solution for 5(t-5)+4t=50-t equation:


Simplifying
5(t + -5) + 4t = 50 + -1t

Reorder the terms:
5(-5 + t) + 4t = 50 + -1t
(-5 * 5 + t * 5) + 4t = 50 + -1t
(-25 + 5t) + 4t = 50 + -1t

Combine like terms: 5t + 4t = 9t
-25 + 9t = 50 + -1t

Solving
-25 + 9t = 50 + -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.
-25 + 9t + t = 50 + -1t + t

Combine like terms: 9t + t = 10t
-25 + 10t = 50 + -1t + t

Combine like terms: -1t + t = 0
-25 + 10t = 50 + 0
-25 + 10t = 50

Add '25' to each side of the equation.
-25 + 25 + 10t = 50 + 25

Combine like terms: -25 + 25 = 0
0 + 10t = 50 + 25
10t = 50 + 25

Combine like terms: 50 + 25 = 75
10t = 75

Divide each side by '10'.
t = 7.5

Simplifying
t = 7.5

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