3(8-3t)=2(2+t)

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Solution for 3(8-3t)=2(2+t) equation:


Simplifying
3(8 + -3t) = 2(2 + t)
(8 * 3 + -3t * 3) = 2(2 + t)
(24 + -9t) = 2(2 + t)
24 + -9t = (2 * 2 + t * 2)
24 + -9t = (4 + 2t)

Solving
24 + -9t = 4 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
24 + -9t + -2t = 4 + 2t + -2t

Combine like terms: -9t + -2t = -11t
24 + -11t = 4 + 2t + -2t

Combine like terms: 2t + -2t = 0
24 + -11t = 4 + 0
24 + -11t = 4

Add '-24' to each side of the equation.
24 + -24 + -11t = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -11t = 4 + -24
-11t = 4 + -24

Combine like terms: 4 + -24 = -20
-11t = -20

Divide each side by '-11'.
t = 1.818181818

Simplifying
t = 1.818181818

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