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

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


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

Solving
2.7 + -3t = 82.5 + -15t

Solving for variable 't'.

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

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

Combine like terms: -3t + 15t = 12t
2.7 + 12t = 82.5 + -15t + 15t

Combine like terms: -15t + 15t = 0
2.7 + 12t = 82.5 + 0
2.7 + 12t = 82.5

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 12t = 82.5 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 12t = 82.5 + -2.7
12t = 82.5 + -2.7

Combine like terms: 82.5 + -2.7 = 79.8
12t = 79.8

Divide each side by '12'.
t = 6.65

Simplifying
t = 6.65

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