0.5(3-8t)=20(1-0.5t)

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Solution for 0.5(3-8t)=20(1-0.5t) equation: 


Simplifying
0.5(3 + -8t) = 20(1 + -0.5t)
(3 * 0.5 + -8t * 0.5) = 20(1 + -0.5t)
(1.5 + -4t) = 20(1 + -0.5t)
1.5 + -4t = (1 * 20 + -0.5t * 20)
1.5 + -4t = (20 + -10t)

Solving
1.5 + -4t = 20 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
1.5 + -4t + 10t = 20 + -10t + 10t

Combine like terms: -4t + 10t = 6t
1.5 + 6t = 20 + -10t + 10t

Combine like terms: -10t + 10t = 0
1.5 + 6t = 20 + 0
1.5 + 6t = 20

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 6t = 20 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 6t = 20 + -1.5
6t = 20 + -1.5

Combine like terms: 20 + -1.5 = 18.5
6t = 18.5

Divide each side by '6'.
t = 3.083333333

Simplifying
t = 3.083333333

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