6.5t+15=-9.7t+43.8

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Solution for 6.5t+15=-9.7t+43.8 equation: 


Simplifying
6.5t + 15 = -9.7t + 43.8

Reorder the terms:
15 + 6.5t = -9.7t + 43.8

Reorder the terms:
15 + 6.5t = 43.8 + -9.7t

Solving
15 + 6.5t = 43.8 + -9.7t

Solving for variable 't'.

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

Add '9.7t' to each side of the equation.
15 + 6.5t + 9.7t = 43.8 + -9.7t + 9.7t

Combine like terms: 6.5t + 9.7t = 16.2t
15 + 16.2t = 43.8 + -9.7t + 9.7t

Combine like terms: -9.7t + 9.7t = 0.0
15 + 16.2t = 43.8 + 0.0
15 + 16.2t = 43.8

Add '-15' to each side of the equation.
15 + -15 + 16.2t = 43.8 + -15

Combine like terms: 15 + -15 = 0
0 + 16.2t = 43.8 + -15
16.2t = 43.8 + -15

Combine like terms: 43.8 + -15 = 28.8
16.2t = 28.8

Divide each side by '16.2'.
t = 1.777777778

Simplifying
t = 1.777777778

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