100(80-t)=50(t-20)

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Solution for 100(80-t)=50(t-20) equation:


Simplifying
100(80 + -1t) = 50(t + -20)
(80 * 100 + -1t * 100) = 50(t + -20)
(8000 + -100t) = 50(t + -20)

Reorder the terms:
8000 + -100t = 50(-20 + t)
8000 + -100t = (-20 * 50 + t * 50)
8000 + -100t = (-1000 + 50t)

Solving
8000 + -100t = -1000 + 50t

Solving for variable 't'.

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

Add '-50t' to each side of the equation.
8000 + -100t + -50t = -1000 + 50t + -50t

Combine like terms: -100t + -50t = -150t
8000 + -150t = -1000 + 50t + -50t

Combine like terms: 50t + -50t = 0
8000 + -150t = -1000 + 0
8000 + -150t = -1000

Add '-8000' to each side of the equation.
8000 + -8000 + -150t = -1000 + -8000

Combine like terms: 8000 + -8000 = 0
0 + -150t = -1000 + -8000
-150t = -1000 + -8000

Combine like terms: -1000 + -8000 = -9000
-150t = -9000

Divide each side by '-150'.
t = 60

Simplifying
t = 60

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