9(20-12t)=8(6+9t)-24t

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Solution for 9(20-12t)=8(6+9t)-24t equation: 


Simplifying
9(20 + -12t) = 8(6 + 9t) + -24t
(20 * 9 + -12t * 9) = 8(6 + 9t) + -24t
(180 + -108t) = 8(6 + 9t) + -24t
180 + -108t = (6 * 8 + 9t * 8) + -24t
180 + -108t = (48 + 72t) + -24t

Combine like terms: 72t + -24t = 48t
180 + -108t = 48 + 48t

Solving
180 + -108t = 48 + 48t

Solving for variable 't'.

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

Add '-48t' to each side of the equation.
180 + -108t + -48t = 48 + 48t + -48t

Combine like terms: -108t + -48t = -156t
180 + -156t = 48 + 48t + -48t

Combine like terms: 48t + -48t = 0
180 + -156t = 48 + 0
180 + -156t = 48

Add '-180' to each side of the equation.
180 + -180 + -156t = 48 + -180

Combine like terms: 180 + -180 = 0
0 + -156t = 48 + -180
-156t = 48 + -180

Combine like terms: 48 + -180 = -132
-156t = -132

Divide each side by '-156'.
t = 0.8461538462

Simplifying
t = 0.8461538462

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