2(4t-5)+t=40-t

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Solution for 2(4t-5)+t=40-t equation:


Simplifying
2(4t + -5) + t = 40 + -1t

Reorder the terms:
2(-5 + 4t) + t = 40 + -1t
(-5 * 2 + 4t * 2) + t = 40 + -1t
(-10 + 8t) + t = 40 + -1t

Combine like terms: 8t + t = 9t
-10 + 9t = 40 + -1t

Solving
-10 + 9t = 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.
-10 + 9t + t = 40 + -1t + t

Combine like terms: 9t + t = 10t
-10 + 10t = 40 + -1t + t

Combine like terms: -1t + t = 0
-10 + 10t = 40 + 0
-10 + 10t = 40

Add '10' to each side of the equation.
-10 + 10 + 10t = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 10t = 40 + 10
10t = 40 + 10

Combine like terms: 40 + 10 = 50
10t = 50

Divide each side by '10'.
t = 5

Simplifying
t = 5

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