-5(6.5+3t)=3(0.9-t)

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Solution for -5(6.5+3t)=3(0.9-t) equation: 


Simplifying
-5(6.5 + 3t) = 3(0.9 + -1t)
(6.5 * -5 + 3t * -5) = 3(0.9 + -1t)
(-32.5 + -15t) = 3(0.9 + -1t)
-32.5 + -15t = (0.9 * 3 + -1t * 3)
-32.5 + -15t = (2.7 + -3t)

Solving
-32.5 + -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.
-32.5 + -15t + 3t = 2.7 + -3t + 3t

Combine like terms: -15t + 3t = -12t
-32.5 + -12t = 2.7 + -3t + 3t

Combine like terms: -3t + 3t = 0
-32.5 + -12t = 2.7 + 0
-32.5 + -12t = 2.7

Add '32.5' to each side of the equation.
-32.5 + 32.5 + -12t = 2.7 + 32.5

Combine like terms: -32.5 + 32.5 = 0.0
0.0 + -12t = 2.7 + 32.5
-12t = 2.7 + 32.5

Combine like terms: 2.7 + 32.5 = 35.2
-12t = 35.2

Divide each side by '-12'.
t = -2.933333333

Simplifying
t = -2.933333333

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