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

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


Simplifying
(16.5 + 3t) + -5 = 3(0.9 + -1t)

Remove parenthesis around (16.5 + 3t)
16.5 + 3t + -5 = 3(0.9 + -1t)

Reorder the terms:
16.5 + -5 + 3t = 3(0.9 + -1t)

Combine like terms: 16.5 + -5 = 11.5
11.5 + 3t = 3(0.9 + -1t)
11.5 + 3t = (0.9 * 3 + -1t * 3)
11.5 + 3t = (2.7 + -3t)

Solving
11.5 + 3t = 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.
11.5 + 3t + 3t = 2.7 + -3t + 3t

Combine like terms: 3t + 3t = 6t
11.5 + 6t = 2.7 + -3t + 3t

Combine like terms: -3t + 3t = 0
11.5 + 6t = 2.7 + 0
11.5 + 6t = 2.7

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 6t = 2.7 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 6t = 2.7 + -11.5
6t = 2.7 + -11.5

Combine like terms: 2.7 + -11.5 = -8.8
6t = -8.8

Divide each side by '6'.
t = -1.466666667

Simplifying
t = -1.466666667

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