5(16.5+3t)=3(0.9-t)

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Solution for 5(16.5+3t)=3(0.9-t) equation: 


Simplifying
5(16.5 + 3t) = 3(0.9 + -1t)
(16.5 * 5 + 3t * 5) = 3(0.9 + -1t)
(82.5 + 15t) = 3(0.9 + -1t)
82.5 + 15t = (0.9 * 3 + -1t * 3)
82.5 + 15t = (2.7 + -3t)

Solving
82.5 + 15t = 2.7 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
82.5 + 15t + 3t = 2.7 + -3t + 3t

Combine like terms: 15t + 3t = 18t
82.5 + 18t = 2.7 + -3t + 3t

Combine like terms: -3t + 3t = 0
82.5 + 18t = 2.7 + 0
82.5 + 18t = 2.7

Add '-82.5' to each side of the equation.
82.5 + -82.5 + 18t = 2.7 + -82.5

Combine like terms: 82.5 + -82.5 = 0.0
0.0 + 18t = 2.7 + -82.5
18t = 2.7 + -82.5

Combine like terms: 2.7 + -82.5 = -79.8
18t = -79.8

Divide each side by '18'.
t = -4.433333333

Simplifying
t = -4.433333333

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